Given numbers are 520,416,572,946,354

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

The LCM of 520,416,572,946,354 is 174139680.

Find LCM of 520,416,572,946,354 with Prime Factorization

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

2 x 2 x 2 x 11 x 13 x 5 x 4 x 1 x 43 x 177 = 174139680

Therefore, the lowest common multiple of 520,416,572,946,354 is 174139680.

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.

520 x 416 x 572 x 946 x 354 = 41436885135360

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.

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

946 : 1, 2, 11, 22, 43, 86, 473, 946

354 : 1, 2, 3, 6, 59, 118, 177, 354

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,416,572,946,354, is 2.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

416:2x 2x 2x 2x 2x 13

572:2x 2x 11x 13

946:2x 11x 43

354:2x 3x 59

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 2x 11x 13x 13 = 118976

Therefore, the value for common factors is 118976.

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 = 41436885135360/(2x118976)

LCM = 41436885135360/237952

LCM = 174139680

Thus, we can understand that the LCM of 520,416,572,946,354 is 174139680.

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

• LCM of 142, 607, 369, 146, 434
• LCM of 112, 158, 743, 579, 514
• LCM of 845, 796, 494, 123, 814
• LCM of 978, 847, 563, 371, 248
• LCM of 398, 520, 260, 765, 165

1. What is the LCM of 520, 416, 572, 946, 354?

Answer: LCM of 520, 416, 572, 946, 354 is 174139680.

2. How to calculate the LCM of 520, 416, 572, 946, 354?

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 520, 416, 572, 946, 354.

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}.