One way to find the least common multiple of two numbers is **to first list the prime factors of each number**. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

Just so, What is the LCM and GCF of 36 and 42?

Example 1: Find the GCF of 36 and 42, if their LCM is 252. Therefore, the greatest common factor of 36 and 42 is **6**. Example 2: Find the greatest number that divides 36 and 42 exactly.

What is an example of LCM? LCM denotes **the least common factor or multiple of any two or more given** integers. For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20. Now, if we consider the multiples of 16 and 20, we get; 16 → 16, 32, 48, 64, 80,…

Similarly, What are the factors of 42?

** Factors of 42 **

- Factors of 42: 1, 2, 3, 6, 7, 14, 21, and 42.
- Factors of -42: -1, -2, -3, -6, -7, -14, -21 and -42.
- Prime Factorization of 42: 42 = 2 × 3 × 7.

## What is the LCM of 36 42 and 48?

The least common multiple of 36, 42 and 48 is **1008**.

## What is the greatest factor?

The greatest common factor is **the largest whole number that is a factor of the two given whole numbers**. In other words, it is the largest number that can be divided evenly into the two given numbers.

## What is the LCM of 35 42 and 49?

The least common multiple of 35, 42 and 49 is **1470**.

## How do you use LCM with examples?

For example, LCM of 6, 8, and 12 is 24.

…

** What are Applications of LCM and HCF **

- To split things into smaller sections.
- To equally distribute any number of sets of items into their largest grouping.
- To figure out how many people we can invite.
- To arrange something into rows or groups.

## What is the LCM of 30 and 36?

Answer: LCM of 30 and 36 is **180**.

## What are the factors of 35?

The factors of 35 are **1, 5, 7 and 35**.

## What are the factors of 30 and 42?

The factors of 30 and 42 are **1, 2, 3, 5, 6, 10, 15, 30 and 1, 2, 3, 6, 7, 14, 21, 42** respectively.

## How do you draw a factor tree for 42?

## What is the LCM of 12 and 16?

The LCM of 12 and 16 is **48**. To find the LCM (least common multiple) of 12 and 16, we need to find the multiples of 12 and 16 (multiples of 12 = 12, 24, 36, 48; multiples of 16 = 16, 32, 48, 64) and choose the smallest multiple that is exactly divisible by 12 and 16, i.e., 48.

## What is the LCM of 12 and 15?

Hence, the Least common multiple of 12 and 15 is **60**.

## What is the LCM of 72 and 90?

The LCM of 72 and 90 is **360**.

## How do you do GCD?

** The steps to calculate the GCD of (a, b) using the LCM method is: **

- Step 1: Find the product of a and b.
- Step 2: Find the least common multiple (LCM) of a and b.
- Step 3: Divide the values obtained in Step 1 and Step 2.
- Step 4: The obtained value after division is the greatest common divisor of (a, b).

## What does LCM mean in math?

Kids Definition of **least common multiple**

: the smallest number that is a multiple of each of two or more numbers.

## How do you calculate GCF?

** Here’s how to find the GCF of a set of numbers using prime factorization: **

- List the prime factors of each number.
- Circle every common prime factor — that is, every prime factor that’s a factor of every number in the set.
- Multiply all the circled numbers. The result is the GCF.

## What is the LCM of 35?

To find the LCM of 35 and 42 using prime factorization, we will find the prime factors, (35 = 5 × 7) and (42 = 2 × 3 × 7). LCM of 35 and 42 is the product of prime factors raised to their respective highest exponent among the numbers 35 and 42. ⇒ LCM of 35, 42 = **2 ^{1} × 3^{1} × 5^{1} × 7^{1} = 210**.

## What is the LCM of 35 and 45?

What is the LCM of 35 and 45? The LCM of 35 and 45 is **315**.

## What do 35 and 49 have in common?

The GCF of 35 and 49 is **7**.