Given numbers are 708,635,509,856,980

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

The LCM of 708,635,509,856,980 is 2399576602920.

Find LCM of 708,635,509,856,980 with Prime Factorization

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

2 x 2 x 5 x 177 x 127 x 509 x 214 x 49 = 2399576602920

Therefore, the lowest common multiple of 708,635,509,856,980 is 2399576602920.

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.

708 x 635 x 509 x 856 x 980 = 191966128233600

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

635 : 1, 5, 127, 635

509 : 1, 509

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

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,635,509,856,980, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

635:5x 127

509:509

856:2x 2x 2x 107

980:2x 2x 5x 7x 7

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 5 = 80

Therefore, the value for common factors is 80.

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 = 191966128233600/(1x80)

LCM = 191966128233600/80

LCM = 2399576602920

Thus, we can understand that the LCM of 708,635,509,856,980 is 2399576602920.

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

• LCM of 321, 950, 651, 729, 778
• LCM of 724, 574, 691, 602, 874
• LCM of 420, 161, 531, 208, 922
• LCM of 937, 934, 772, 528, 372
• LCM of 712, 715, 348, 738, 541

1. What is the LCM of 708, 635, 509, 856, 980?

Answer: LCM of 708, 635, 509, 856, 980 is 2399576602920.

2. How to calculate the LCM of 708, 635, 509, 856, 980?

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 708, 635, 509, 856, 980.

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}.