Given numbers are 468,738,513,138,516

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

The LCM of 468,738,513,138,516 is 1081685124.

Find LCM of 468,738,513,138,516 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 41 x 57 x 23 x 43 = 1081685124

Therefore, the lowest common multiple of 468,738,513,138,516 is 1081685124.

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.

468 x 738 x 513 x 138 x 516 = 12616775286336

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

513 : 1, 3, 9, 19, 27, 57, 171, 513

138 : 1, 2, 3, 6, 23, 46, 69, 138

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,738,513,138,516, is 3.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

738:2x 3x 3x 41

513:3x 3x 3x 19

138:2x 3x 23

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 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 12616775286336/(3x3888)

LCM = 12616775286336/11664

LCM = 1081685124

Thus, we can understand that the LCM of 468,738,513,138,516 is 1081685124.

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

• LCM of 575, 598, 427, 977, 171
• LCM of 793, 554, 480, 261, 657
• LCM of 809, 408, 567, 305, 980
• LCM of 554, 421, 500, 149, 426
• LCM of 954, 468, 111, 101, 114

1. What is the LCM of 468, 738, 513, 138, 516?

Answer: LCM of 468, 738, 513, 138, 516 is 1081685124.

2. How to calculate the LCM of 468, 738, 513, 138, 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 468, 738, 513, 138, 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}.