Given numbers are 508,380,676,109,715

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

The LCM of 508,380,676,109,715 is 9778972060.

Find LCM of 508,380,676,109,715 with Prime Factorization

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

2 x 2 x 5 x 13 x 127 x 19 x 13 x 109 x 11 = 9778972060

Therefore, the lowest common multiple of 508,380,676,109,715 is 9778972060.

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.

508 x 380 x 676 x 109 x 715 = 10170130942400

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.

508 : 1, 2, 4, 127, 254, 508

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

109 : 1, 109

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,380,676,109,715, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

380:2x 2x 5x 19

676:2x 2x 13x 13

109:109

715:5x 11x 13

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 5x 13 = 1040

Therefore, the value for common factors is 1040.

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 = 10170130942400/(1x1040)

LCM = 10170130942400/1040

LCM = 9778972060

Thus, we can understand that the LCM of 508,380,676,109,715 is 9778972060.

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

• LCM of 811, 501, 774, 118, 330
• LCM of 883, 401, 300, 139, 429
• LCM of 605, 272, 597, 848, 920
• LCM of 158, 482, 284, 959, 274
• LCM of 445, 934, 821, 481, 608

1. What is the LCM of 508, 380, 676, 109, 715?

Answer: LCM of 508, 380, 676, 109, 715 is 9778972060.

2. How to calculate the LCM of 508, 380, 676, 109, 715?

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 508, 380, 676, 109, 715.

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}.