Given numbers are 516,745,894,676,408

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

The LCM of 516,745,894,676,408 is 2208877320.

Find LCM of 516,745,894,676,408 with Prime Factorization

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

2 x 2 x 3 x 149 x 43 x 5 x 1 x 169 x 34 = 2208877320

Therefore, the lowest common multiple of 516,745,894,676,408 is 2208877320.

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.

516 x 745 x 894 x 676 x 408 = 94787343555840

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.

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

745 : 1, 5, 149, 745

894 : 1, 2, 3, 6, 149, 298, 447, 894

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,745,894,676,408, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

745:5x 149

894:2x 3x 149

676:2x 2x 13x 13

408:2x 2x 2x 3x 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 2x 3x 3x 149 = 42912

Therefore, the value for common factors is 42912.

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 = 94787343555840/(1x42912)

LCM = 94787343555840/42912

LCM = 2208877320

Thus, we can understand that the LCM of 516,745,894,676,408 is 2208877320.

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

• LCM of 356, 400, 635, 510, 997
• LCM of 952, 359, 875, 969, 797
• LCM of 642, 684, 255, 524, 477
• LCM of 123, 756, 844, 501, 879
• LCM of 236, 615, 836, 236, 635

1. What is the LCM of 516, 745, 894, 676, 408?

Answer: LCM of 516, 745, 894, 676, 408 is 2208877320.

2. How to calculate the LCM of 516, 745, 894, 676, 408?

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 516, 745, 894, 676, 408.

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}.