Given numbers are 763,478,260,696,938

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

The LCM of 763,478,260,696,938 is 552738655560.

Find LCM of 763,478,260,696,938 with Prime Factorization

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

2 x 2 x 7 x 109 x 239 x 65 x 174 x 67 = 552738655560

Therefore, the lowest common multiple of 763,478,260,696,938 is 552738655560.

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.

763 x 478 x 260 x 696 x 938 = 61906729422720

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.

763 : 1, 7, 109, 763

478 : 1, 2, 239, 478

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

938 : 1, 2, 7, 14, 67, 134, 469, 938

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,478,260,696,938, is 1.

Now, the common factors can be found like this.

763:7x 109

478:2x 239

260:2x 2x 5x 13

696:2x 2x 2x 3x 29

938:2x 7x 67

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 7 = 112

Therefore, the value for common factors is 112.

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 = 61906729422720/(1x112)

LCM = 61906729422720/112

LCM = 552738655560

Thus, we can understand that the LCM of 763,478,260,696,938 is 552738655560.

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

• LCM of 230, 663, 694, 906, 623
• LCM of 531, 742, 459, 764, 357
• LCM of 908, 973, 147, 906, 338
• LCM of 732, 507, 676, 535, 218
• LCM of 678, 483, 857, 142, 510

1. What is the LCM of 763, 478, 260, 696, 938?

Answer: LCM of 763, 478, 260, 696, 938 is 552738655560.

2. How to calculate the LCM of 763, 478, 260, 696, 938?

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 763, 478, 260, 696, 938.

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}.