Given numbers are 674,631,442,612,748

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

The LCM of 674,631,442,612,748 is 18610014852.

Find LCM of 674,631,442,612,748 with Prime Factorization

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

2 x 2 x 17 x 337 x 631 x 13 x 9 x 11 = 18610014852

Therefore, the lowest common multiple of 674,631,442,612,748 is 18610014852.

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.

674 x 631 x 442 x 612 x 748 = 86052708675648

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.

674 : 1, 2, 337, 674

631 : 1, 631

442 : 1, 2, 13, 17, 26, 34, 221, 442

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,631,442,612,748, is 1.

Now, the common factors can be found like this.

674:2x 337

631:631

442:2x 13x 17

612:2x 2x 3x 3x 17

748:2x 2x 11x 17

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 17x 17 = 4624

Therefore, the value for common factors is 4624.

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 = 86052708675648/(1x4624)

LCM = 86052708675648/4624

LCM = 18610014852

Thus, we can understand that the LCM of 674,631,442,612,748 is 18610014852.

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

• LCM of 888, 826, 360, 783, 819
• LCM of 299, 797, 678, 288, 392
• LCM of 707, 376, 989, 697, 286
• LCM of 926, 651, 976, 839, 525
• LCM of 592, 447, 819, 191, 666

1. What is the LCM of 674, 631, 442, 612, 748?

Answer: LCM of 674, 631, 442, 612, 748 is 18610014852.

2. How to calculate the LCM of 674, 631, 442, 612, 748?

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 674, 631, 442, 612, 748.

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}.