Given numbers are 540,472,107,686,167

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

The LCM of 540,472,107,686,167 is 390544149240.

Find LCM of 540,472,107,686,167 with Prime Factorization

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

2 x 2 x 135 x 118 x 107 x 343 x 167 = 390544149240

Therefore, the lowest common multiple of 540,472,107,686,167 is 390544149240.

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.

540 x 472 x 107 x 686 x 167 = 3124353193920

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

472 : 1, 2, 4, 8, 59, 118, 236, 472

107 : 1, 107

686 : 1, 2, 7, 14, 49, 98, 343, 686

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,472,107,686,167, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

472:2x 2x 2x 59

107:107

686:2x 7x 7x 7

167:167

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 3124353193920/(1x8)

LCM = 3124353193920/8

LCM = 390544149240

Thus, we can understand that the LCM of 540,472,107,686,167 is 390544149240.

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

• LCM of 480, 913, 218, 404, 128
• LCM of 570, 963, 435, 519, 892
• LCM of 199, 629, 416, 974, 463
• LCM of 750, 494, 825, 210, 962
• LCM of 152, 855, 822, 488, 597

1. What is the LCM of 540, 472, 107, 686, 167?

Answer: LCM of 540, 472, 107, 686, 167 is 390544149240.

2. How to calculate the LCM of 540, 472, 107, 686, 167?

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 540, 472, 107, 686, 167.

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}.