Given numbers are 508,210,780,974,856

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

The LCM of 508,210,780,974,856 is 72266845560.

Find LCM of 508,210,780,974,856 with Prime Factorization

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

2 x 2 x 3 x 5 x 127 x 7 x 13 x 487 x 214 = 72266845560

Therefore, the lowest common multiple of 508,210,780,974,856 is 72266845560.

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.

508 x 210 x 780 x 974 x 856 = 69376171737600

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.

508 : 1, 2, 4, 127, 254, 508

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

974 : 1, 2, 487, 974

856 : 1, 2, 4, 8, 107, 214, 428, 856

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,210,780,974,856, is 2.

Now, the common factors can be found like this.

508:2x 2x 127

210:2x 3x 5x 7

780:2x 2x 3x 5x 13

974:2x 487

856:2x 2x 2x 107

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 2x 2x 2x 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 69376171737600/(2x480)

LCM = 69376171737600/960

LCM = 72266845560

Thus, we can understand that the LCM of 508,210,780,974,856 is 72266845560.

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

• LCM of 375, 733, 636, 507, 456
• LCM of 123, 801, 875, 873, 890
• LCM of 773, 840, 861, 471, 528
• LCM of 716, 142, 205, 242, 587
• LCM of 335, 308, 198, 471, 855

1. What is the LCM of 508, 210, 780, 974, 856?

Answer: LCM of 508, 210, 780, 974, 856 is 72266845560.

2. How to calculate the LCM of 508, 210, 780, 974, 856?

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 508, 210, 780, 974, 856.

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}.