Given numbers are 138,798,267,924,786

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

The LCM of 138,798,267,924,786 is 4707764292.

Find LCM of 138,798,267,924,786 with Prime Factorization

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

2 x 3 x 7 x 23 x 19 x 89 x 22 x 131 = 4707764292

Therefore, the lowest common multiple of 138,798,267,924,786 is 4707764292.

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.

138 x 798 x 267 x 924 x 786 = 21354418828512

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.

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

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

267 : 1, 3, 89, 267

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

786 : 1, 2, 3, 6, 131, 262, 393, 786

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,798,267,924,786, is 3.

Now, the common factors can be found like this.

138:2x 3x 23

798:2x 3x 7x 19

267:3x 89

924:2x 2x 3x 7x 11

786:2x 3x 131

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 3x 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 21354418828512/(3x1512)

LCM = 21354418828512/4536

LCM = 4707764292

Thus, we can understand that the LCM of 138,798,267,924,786 is 4707764292.

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

• LCM of 284, 406, 150, 190, 586
• LCM of 528, 440, 663, 920, 185
• LCM of 109, 774, 140, 858, 715
• LCM of 528, 962, 675, 123, 884
• LCM of 822, 966, 100, 591, 898

1. What is the LCM of 138, 798, 267, 924, 786?

Answer: LCM of 138, 798, 267, 924, 786 is 4707764292.

2. How to calculate the LCM of 138, 798, 267, 924, 786?

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 138, 798, 267, 924, 786.

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}.