The LCM of 4 and 10 is **20**.

Example 1: Find the GCF of 4 and 10, if their LCM is 20. Therefore, the greatest common factor of 4 and 10 is 2. Example 2: The product of two numbers is 40. If their GCF is 2, what is their LCM?

Explanation: multiples of 10:{10,20,30,40,50,...} multiples 4:{4,8,12,16,20,24,28,32,36,40,...}

What is the LCM of 4 and 10? Answer: LCM of 4 and 10 is 20.

Both 4 and 10 are even, so they must have a common factor of 2. In this case this is the only common factor (apart from 1).

How to find LCM by Prime Factorization

- Find all the prime factors of each given number.
- List all the prime numbers found, as many times as they occur most often for any one given number.
- Multiply the list of prime factors together to find the LCM.

The LCM of 3 and 10 is 30.

The LCM of 4 and 9 is 36. To find the least common multiple (LCM) of 4 and 9, we need to find the multiples of 4 and 9 (multiples of 4 = 4, 8, 12, 16 . . . .

Therefore, the LCM of 4,5 and 10 is 20.

The LCM of 5 and 10 is 10.

The LCM of 4 and 6 is 12.

The LCM of 8 and 10 is 40. To find the least common multiple of 8 and 10, we need to find the multiples of 8 and 10 (multiples of 8 = 8, 16, 24, 32 . . . . 40; multiples of 10 = 10, 20, 30, 40) and choose the smallest multiple that is exactly divisible by 8 and 10, i.e., 40.

The LCM of 4 and 5 is 20.

The LCM of 2 and 4 is 4. To find the least common multiple of 2 and 4, we need to find the multiples of 2 and 4 (multiples of 2 = 2, 4, 6, 8; multiples of 4 = 4, 8, 12, 16) and choose the smallest multiple that is exactly divisible by 2 and 4, i.e., 4.

What is the LCM of 2 and 10? Answer: LCM of 2 and 10 is 10.

The LCM of 4 and 8 is 8.

Finding LCM of two numbers by HCF method

The product of HCF of two numbers and the LCM of two numbers is equal to the product of two numbers. Therefore, the formula to find LCM of two numbers is, LCM of two numbers = product of two numbers ÷ HCF of two numbers.

What is the LCM of 4 and 12? Answer: LCM of 4 and 12 is 12.

Definition of least common multiple

1 : the smallest common multiple of two or more numbers.

To calculate the greatest common factor (GCF) of 10 and 15, we need to factor each number (factors of 10 = 1, 2, 5, 10; factors of 15 = 1, 3, 5, 15) and choose the greatest factor that exactly divides both 10 and 15, i.e., 5.

The first 10 multiples of 10 are 10, 20, 30, 40, 50, 60, 70, 80, 90 and 100.

As 4 is an even composite number, it has more than two factors. Thus, the factors of 4 are 1, 2 and 4. Similarly, the negative factors of 4 are -1, -2 and -4. Factors of 4: 1, 2 and 4.

The LCM of 10 and 12 is 60. To find the least common multiple (LCM) of 10 and 12, we need to find the multiples of 10 and 12 (multiples of 10 = 10, 20, 30, 40 . . . . 60; multiples of 12 = 12, 24, 36, 48 . . . . 60) and choose the smallest multiple that is exactly divisible by 10 and 12, i.e., 60.

What is the LCM of 3 and 4? The LCM of 3 and 4 is 12. To find the LCM of 3 and 4, we need to find the multiples of 3 and 4 (multiples of 3 = 3, 6, 9, 12; multiples of 4 = 4, 8, 12, 16) and choose the smallest multiple that is exactly divisible by 3 and 4, i.e., 12.