Given numbers are 772,402,460,642,348

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

The LCM of 772,402,460,642,348 is 55372352340.

Find LCM of 772,402,460,642,348 with Prime Factorization

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

2 x 2 x 3 x 193 x 67 x 115 x 107 x 29 = 55372352340

Therefore, the lowest common multiple of 772,402,460,642,348 is 55372352340.

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.

772 x 402 x 460 x 642 x 348 = 31894474947840

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.

772 : 1, 2, 4, 193, 386, 772

402 : 1, 2, 3, 6, 67, 134, 201, 402

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

642 : 1, 2, 3, 6, 107, 214, 321, 642

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,402,460,642,348, is 2.

Now, the common factors can be found like this.

772:2x 2x 193

402:2x 3x 67

460:2x 2x 5x 23

642:2x 3x 107

348:2x 2x 3x 29

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 3 = 288

Therefore, the value for common factors is 288.

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 = 31894474947840/(2x288)

LCM = 31894474947840/576

LCM = 55372352340

Thus, we can understand that the LCM of 772,402,460,642,348 is 55372352340.

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

• LCM of 577, 585, 593, 674, 477
• LCM of 295, 483, 999, 846, 335
• LCM of 699, 292, 685, 887, 429
• LCM of 460, 175, 197, 854, 137
• LCM of 496, 928, 768, 514, 100

1. What is the LCM of 772, 402, 460, 642, 348?

Answer: LCM of 772, 402, 460, 642, 348 is 55372352340.

2. How to calculate the LCM of 772, 402, 460, 642, 348?

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 772, 402, 460, 642, 348.

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}.