Given numbers are 316,260,452,972,516

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

The LCM of 316,260,452,972,516 is 24252337980.

Find LCM of 316,260,452,972,516 with Prime Factorization

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

2 x 2 x 3 x 79 x 65 x 113 x 81 x 43 = 24252337980

Therefore, the lowest common multiple of 316,260,452,972,516 is 24252337980.

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.

316 x 260 x 452 x 972 x 516 = 18625795568640

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.

316 : 1, 2, 4, 79, 158, 316

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

452 : 1, 2, 4, 113, 226, 452

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,260,452,972,516, is 4.

Now, the common factors can be found like this.

316:2x 2x 79

260:2x 2x 5x 13

452:2x 2x 113

972:2x 2x 3x 3x 3x 3x 3

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 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 18625795568640/(4x192)

LCM = 18625795568640/768

LCM = 24252337980

Thus, we can understand that the LCM of 316,260,452,972,516 is 24252337980.

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

• LCM of 839, 154, 623, 374, 279
• LCM of 790, 391, 135, 108, 957
• LCM of 870, 313, 305, 612, 430
• LCM of 624, 273, 651, 904, 225
• LCM of 540, 642, 715, 456, 459

1. What is the LCM of 316, 260, 452, 972, 516?

Answer: LCM of 316, 260, 452, 972, 516 is 24252337980.

2. How to calculate the LCM of 316, 260, 452, 972, 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 316, 260, 452, 972, 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}.