Given numbers are 138,493,513,186,991

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

The LCM of 138,493,513,186,991 is 357402399894.

Find LCM of 138,493,513,186,991 with Prime Factorization

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

2 x 3 x 23 x 493 x 171 x 31 x 991 = 357402399894

Therefore, the lowest common multiple of 138,493,513,186,991 is 357402399894.

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 493 x 513 x 186 x 991 = 6433243198092

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

493 : 1, 17, 29, 493

513 : 1, 3, 9, 19, 27, 57, 171, 513

186 : 1, 2, 3, 6, 31, 62, 93, 186

991 : 1, 991

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,493,513,186,991, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

493:17x 29

513:3x 3x 3x 19

186:2x 3x 31

991:991

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 6433243198092/(1x18)

LCM = 6433243198092/18

LCM = 357402399894

Thus, we can understand that the LCM of 138,493,513,186,991 is 357402399894.

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

• LCM of 849, 569, 231, 744, 672
• LCM of 780, 428, 977, 131, 225
• LCM of 637, 638, 826, 366, 552
• LCM of 285, 615, 776, 196, 972
• LCM of 565, 478, 429, 386, 801

1. What is the LCM of 138, 493, 513, 186, 991?

Answer: LCM of 138, 493, 513, 186, 991 is 357402399894.

2. How to calculate the LCM of 138, 493, 513, 186, 991?

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, 493, 513, 186, 991.

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}.