Given numbers are 961,780,138,456,702

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

The LCM of 961,780,138,456,702 is 5896196280.

Find LCM of 961,780,138,456,702 with Prime Factorization

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

2 x 2 x 3 x 13 x 961 x 5 x 23 x 38 x 9 = 5896196280

Therefore, the lowest common multiple of 961,780,138,456,702 is 5896196280.

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.

961 x 780 x 138 x 456 x 702 = 33113038308480

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.

961 : 1, 31, 961

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,780,138,456,702, is 1.

Now, the common factors can be found like this.

961:31x 31

780:2x 2x 3x 5x 13

138:2x 3x 23

456:2x 2x 2x 3x 19

702:2x 3x 3x 3x 13

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 3x 3x 3x 13 = 5616

Therefore, the value for common factors is 5616.

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 = 33113038308480/(1x5616)

LCM = 33113038308480/5616

LCM = 5896196280

Thus, we can understand that the LCM of 961,780,138,456,702 is 5896196280.

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

• LCM of 163, 843, 761, 543, 799
• LCM of 511, 298, 281, 406, 835
• LCM of 686, 169, 528, 819, 505
• LCM of 330, 656, 228, 380, 706
• LCM of 877, 141, 695, 621, 127

1. What is the LCM of 961, 780, 138, 456, 702?

Answer: LCM of 961, 780, 138, 456, 702 is 5896196280.

2. How to calculate the LCM of 961, 780, 138, 456, 702?

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 961, 780, 138, 456, 702.

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}.