Given numbers are 975,471,363,516,753

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

The LCM of 975,471,363,516,753 is 799635021900.

Find LCM of 975,471,363,516,753 with Prime Factorization

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

3 x 325 x 157 x 121 x 172 x 251 = 799635021900

Therefore, the lowest common multiple of 975,471,363,516,753 is 799635021900.

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 471 x 363 x 516 x 753 = 64770436773900

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

471 : 1, 3, 157, 471

363 : 1, 3, 11, 33, 121, 363

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

753 : 1, 3, 251, 753

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,471,363,516,753, is 3.

Now, the common factors can be found like this.

975:3x 5x 5x 13

471:3x 157

363:3x 11x 11

516:2x 2x 3x 43

753:3x 251

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 64770436773900/(3x27)

LCM = 64770436773900/81

LCM = 799635021900

Thus, we can understand that the LCM of 975,471,363,516,753 is 799635021900.

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

• LCM of 222, 568, 890, 939, 425
• LCM of 383, 661, 106, 973, 355
• LCM of 779, 876, 107, 508, 764
• LCM of 639, 949, 767, 670, 298
• LCM of 525, 135, 360, 470, 941

1. What is the LCM of 975, 471, 363, 516, 753?

Answer: LCM of 975, 471, 363, 516, 753 is 799635021900.

2. How to calculate the LCM of 975, 471, 363, 516, 753?

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, 471, 363, 516, 753.

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}.