Given numbers are 975,538,471,504,660

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

The LCM of 975,538,471,504,660 is 76095419400.

Find LCM of 975,538,471,504,660 with Prime Factorization

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

2 x 2 x 3 x 5 x 65 x 269 x 157 x 42 x 11 = 76095419400

Therefore, the lowest common multiple of 975,538,471,504,660 is 76095419400.

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 538 x 471 x 504 x 660 = 82183052952000

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

538 : 1, 2, 269, 538

471 : 1, 3, 157, 471

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,538,471,504,660, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

538:2x 269

471:3x 157

504:2x 2x 2x 3x 3x 7

660:2x 2x 3x 5x 11

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 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 82183052952000/(1x1080)

LCM = 82183052952000/1080

LCM = 76095419400

Thus, we can understand that the LCM of 975,538,471,504,660 is 76095419400.

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

• LCM of 768, 314, 543, 720, 459
• LCM of 788, 999, 490, 514, 477
• LCM of 477, 464, 953, 416, 855
• LCM of 901, 678, 936, 217, 910
• LCM of 809, 879, 597, 688, 861

1. What is the LCM of 975, 538, 471, 504, 660?

Answer: LCM of 975, 538, 471, 504, 660 is 76095419400.

2. How to calculate the LCM of 975, 538, 471, 504, 660?

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, 538, 471, 504, 660.

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}.