Given numbers are 975,854,558,837,916

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

The LCM of 975,854,558,837,916 is 106397682300.

Find LCM of 975,854,558,837,916 with Prime Factorization

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

2 x 3 x 3 x 31 x 325 x 427 x 1 x 3 x 458 = 106397682300

Therefore, the lowest common multiple of 975,854,558,837,916 is 106397682300.

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.

975 x 854 x 558 x 837 x 916 = 356219440340400

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.

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

854 : 1, 2, 7, 14, 61, 122, 427, 854

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

837 : 1, 3, 9, 27, 31, 93, 279, 837

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,854,558,837,916, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

854:2x 7x 61

558:2x 3x 3x 31

837:3x 3x 3x 31

916:2x 2x 229

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 3x 3x 3x 31 = 3348

Therefore, the value for common factors is 3348.

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 = 356219440340400/(1x3348)

LCM = 356219440340400/3348

LCM = 106397682300

Thus, we can understand that the LCM of 975,854,558,837,916 is 106397682300.

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

• LCM of 202, 877, 441, 117, 157
• LCM of 191, 350, 822, 848, 871
• LCM of 926, 658, 338, 115, 636
• LCM of 792, 906, 953, 862, 796
• LCM of 740, 774, 485, 550, 672

1. What is the LCM of 975, 854, 558, 837, 916?

Answer: LCM of 975, 854, 558, 837, 916 is 106397682300.

2. How to calculate the LCM of 975, 854, 558, 837, 916?

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 975, 854, 558, 837, 916.

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}.