Given numbers are 851,115,208,656,138

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

The LCM of 851,115,208,656,138 is 108859920.

Find LCM of 851,115,208,656,138 with Prime Factorization

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

2 x 2 x 2 x 2 x 23 x 37 x 5 x 13 x 41 x 3 = 108859920

Therefore, the lowest common multiple of 851,115,208,656,138 is 108859920.

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.

851 x 115 x 208 x 656 x 138 = 1842780725760

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.

851 : 1, 23, 37, 851

115 : 1, 5, 23, 115

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,115,208,656,138, is 1.

Now, the common factors can be found like this.

851:23x 37

115:5x 23

208:2x 2x 2x 2x 13

656:2x 2x 2x 2x 41

138:2x 3x 23

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 23x 23 = 16928

Therefore, the value for common factors is 16928.

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 = 1842780725760/(1x16928)

LCM = 1842780725760/16928

LCM = 108859920

Thus, we can understand that the LCM of 851,115,208,656,138 is 108859920.

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

• LCM of 718, 318, 585, 433, 536
• LCM of 661, 779, 520, 887, 556
• LCM of 563, 309, 875, 109, 192
• LCM of 686, 854, 973, 477, 902
• LCM of 966, 697, 852, 451, 774

1. What is the LCM of 851, 115, 208, 656, 138?

Answer: LCM of 851, 115, 208, 656, 138 is 108859920.

2. How to calculate the LCM of 851, 115, 208, 656, 138?

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 851, 115, 208, 656, 138.

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}.