Given numbers are 906,42,417

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 906,42,417 is 881538.

Find LCM of 906,42,417 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 151 x 7 x 139 = 881538

Therefore, the lowest common multiple of 906,42,417 is 881538.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

906 x 42 x 417 = 15867684

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

906 : 1, 2, 3, 6, 151, 302, 453, 906

42 : 1, 2, 3, 6, 7, 14, 21, 42

417 : 1, 3, 139, 417

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,42,417, is 3.

Now, the common factors can be found like this.

906:2x 3x 151

42:2x 3x 7

417:3x 139

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 15867684/(3x6)

LCM = 15867684/18

LCM = 881538

Thus, we can understand that the LCM of 906,42,417 is 881538.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 246, 54, 680
• LCM of 586, 74, 866
• LCM of 334, 94, 151
• LCM of 759, 32, 530
• LCM of 763, 13, 986

1. What is the LCM of 906, 42, 417?

Answer: LCM of 906, 42, 417 is 881538.

2. How to calculate the LCM of 906, 42, 417?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 906, 42, 417.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.