Given numbers are 975,458,187,104

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

The LCM of 975,458,187,104 is 334019400.

Find LCM of 975,458,187,104 with Prime Factorization

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

2 x 13 x 75 x 229 x 187 x 4 = 334019400

Therefore, the lowest common multiple of 975,458,187,104 is 334019400.

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 458 x 187 x 104 = 8684504400

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

458 : 1, 2, 229, 458

187 : 1, 11, 17, 187

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,458,187,104, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

458:2x 229

187:11x 17

104:2x 2x 2x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 8684504400/(1x26)

LCM = 8684504400/26

LCM = 334019400

Thus, we can understand that the LCM of 975,458,187,104 is 334019400.

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

• LCM of 146, 353, 508, 429
• LCM of 294, 961, 720, 510
• LCM of 839, 538, 309, 239
• LCM of 534, 217, 363, 923
• LCM of 989, 236, 622, 133

1. What is the LCM of 975, 458, 187, 104?

Answer: LCM of 975, 458, 187, 104 is 334019400.

2. How to calculate the LCM of 975, 458, 187, 104?

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, 458, 187, 104.

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}.