Given numbers are 456,369,407,975,516

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

The LCM of 456,369,407,975,516 is 319018728600.

Find LCM of 456,369,407,975,516 with Prime Factorization

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

2 x 2 x 3 x 38 x 123 x 407 x 325 x 43 = 319018728600

Therefore, the lowest common multiple of 456,369,407,975,516 is 319018728600.

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.

456 x 369 x 407 x 975 x 516 = 34454022688800

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

369 : 1, 3, 9, 41, 123, 369

407 : 1, 11, 37, 407

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,369,407,975,516, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

369:3x 3x 41

407:11x 37

975:3x 5x 5x 13

516:2x 2x 3x 43

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 34454022688800/(1x108)

LCM = 34454022688800/108

LCM = 319018728600

Thus, we can understand that the LCM of 456,369,407,975,516 is 319018728600.

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

• LCM of 778, 640, 521, 714, 879
• LCM of 421, 856, 685, 698, 736
• LCM of 880, 529, 946, 640, 113
• LCM of 678, 530, 806, 995, 815
• LCM of 505, 746, 560, 579, 651

1. What is the LCM of 456, 369, 407, 975, 516?

Answer: LCM of 456, 369, 407, 975, 516 is 319018728600.

2. How to calculate the LCM of 456, 369, 407, 975, 516?

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 456, 369, 407, 975, 516.

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}.