Given numbers are 564,748,751,149,826

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

The LCM of 564,748,751,149,826 is 4874128421316.

Find LCM of 564,748,751,149,826 with Prime Factorization

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

2 x 2 x 141 x 187 x 751 x 149 x 413 = 4874128421316

Therefore, the lowest common multiple of 564,748,751,149,826 is 4874128421316.

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.

564 x 748 x 751 x 149 x 826 = 38993027370528

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

751 : 1, 751

149 : 1, 149

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,748,751,149,826, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

748:2x 2x 11x 17

751:751

149:149

826:2x 7x 59

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 2 = 8

Therefore, the value for common factors is 8.

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 = 38993027370528/(1x8)

LCM = 38993027370528/8

LCM = 4874128421316

Thus, we can understand that the LCM of 564,748,751,149,826 is 4874128421316.

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

• LCM of 931, 638, 770, 808, 988
• LCM of 296, 301, 446, 199, 562
• LCM of 500, 549, 638, 284, 608
• LCM of 671, 479, 458, 679, 485
• LCM of 859, 296, 431, 881, 423

1. What is the LCM of 564, 748, 751, 149, 826?

Answer: LCM of 564, 748, 751, 149, 826 is 4874128421316.

2. How to calculate the LCM of 564, 748, 751, 149, 826?

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 564, 748, 751, 149, 826.

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}.