Given numbers are 724,344,516,149,856

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

The LCM of 724,344,516,149,856 is 2978024856.

Find LCM of 724,344,516,149,856 with Prime Factorization

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

2 x 2 x 2 x 43 x 181 x 1 x 3 x 149 x 107 = 2978024856

Therefore, the lowest common multiple of 724,344,516,149,856 is 2978024856.

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.

724 x 344 x 516 x 149 x 856 = 16391048807424

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.

724 : 1, 2, 4, 181, 362, 724

344 : 1, 2, 4, 8, 43, 86, 172, 344

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

149 : 1, 149

856 : 1, 2, 4, 8, 107, 214, 428, 856

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,344,516,149,856, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

344:2x 2x 2x 43

516:2x 2x 3x 43

149:149

856:2x 2x 2x 107

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 2x 43 = 5504

Therefore, the value for common factors is 5504.

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 = 16391048807424/(1x5504)

LCM = 16391048807424/5504

LCM = 2978024856

Thus, we can understand that the LCM of 724,344,516,149,856 is 2978024856.

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

• LCM of 367, 408, 419, 403, 394
• LCM of 728, 747, 364, 547, 252
• LCM of 227, 821, 426, 312, 514
• LCM of 874, 589, 839, 240, 555
• LCM of 365, 272, 918, 743, 302

1. What is the LCM of 724, 344, 516, 149, 856?

Answer: LCM of 724, 344, 516, 149, 856 is 2978024856.

2. How to calculate the LCM of 724, 344, 516, 149, 856?

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 724, 344, 516, 149, 856.

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}.