Given numbers are 507,645,107,160,779

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

The LCM of 507,645,107,160,779 is 290748600480.

Find LCM of 507,645,107,160,779 with Prime Factorization

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

3 x 5 x 169 x 43 x 107 x 32 x 779 = 290748600480

Therefore, the lowest common multiple of 507,645,107,160,779 is 290748600480.

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.

507 x 645 x 107 x 160 x 779 = 4361229007200

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.

507 : 1, 3, 13, 39, 169, 507

645 : 1, 3, 5, 15, 43, 129, 215, 645

107 : 1, 107

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

779 : 1, 19, 41, 779

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,645,107,160,779, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

645:3x 5x 43

107:107

160:2x 2x 2x 2x 2x 5

779:19x 41

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 4361229007200/(1x15)

LCM = 4361229007200/15

LCM = 290748600480

Thus, we can understand that the LCM of 507,645,107,160,779 is 290748600480.

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

• LCM of 361, 218, 525, 189, 608
• LCM of 775, 980, 513, 828, 478
• LCM of 296, 141, 892, 467, 931
• LCM of 475, 586, 549, 647, 383
• LCM of 227, 660, 940, 294, 289

1. What is the LCM of 507, 645, 107, 160, 779?

Answer: LCM of 507, 645, 107, 160, 779 is 290748600480.

2. How to calculate the LCM of 507, 645, 107, 160, 779?

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 507, 645, 107, 160, 779.

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}.