Given numbers are 520,760,242,416

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

The LCM of 520,760,242,416 is 4781920.

Find LCM of 520,760,242,416 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 1 x 19 x 121 x 4 = 4781920

Therefore, the lowest common multiple of 520,760,242,416 is 4781920.

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 760 x 242 x 416 = 39785574400

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

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

242 : 1, 2, 11, 22, 121, 242

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,760,242,416, is 2.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

760:2x 2x 2x 5x 19

242:2x 11x 11

416:2x 2x 2x 2x 2x 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 2x 2x 5x 13 = 4160

Therefore, the value for common factors is 4160.

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 = 39785574400/(2x4160)

LCM = 39785574400/8320

LCM = 4781920

Thus, we can understand that the LCM of 520,760,242,416 is 4781920.

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

• LCM of 754, 628, 958, 202
• LCM of 207, 919, 339, 707
• LCM of 776, 174, 735, 219
• LCM of 214, 571, 156, 848
• LCM of 321, 696, 768, 384

1. What is the LCM of 520, 760, 242, 416?

Answer: LCM of 520, 760, 242, 416 is 4781920.

2. How to calculate the LCM of 520, 760, 242, 416?

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, 760, 242, 416.

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}.