Given numbers are 138,312,968,377,460

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

The LCM of 138,312,968,377,460 is 125902920.

Find LCM of 138,312,968,377,460 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 23 x 1 x 1 x 121 x 29 x 5 = 125902920

Therefore, the lowest common multiple of 138,312,968,377,460 is 125902920.

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 312 x 968 x 377 x 460 = 7227834831360

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

377 : 1, 13, 29, 377

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,312,968,377,460, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

312:2x 2x 2x 3x 13

968:2x 2x 2x 11x 11

377:13x 29

460:2x 2x 5x 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 2x 3x 13x 23 = 57408

Therefore, the value for common factors is 57408.

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 = 7227834831360/(1x57408)

LCM = 7227834831360/57408

LCM = 125902920

Thus, we can understand that the LCM of 138,312,968,377,460 is 125902920.

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

• LCM of 879, 110, 360, 500, 340
• LCM of 509, 329, 958, 335, 949
• LCM of 582, 351, 348, 893, 132
• LCM of 496, 735, 486, 200, 681
• LCM of 662, 838, 602, 828, 204

1. What is the LCM of 138, 312, 968, 377, 460?

Answer: LCM of 138, 312, 968, 377, 460 is 125902920.

2. How to calculate the LCM of 138, 312, 968, 377, 460?

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, 312, 968, 377, 460.

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}.