Given numbers are 546,908,519,920

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

The LCM of 546,908,519,920 is 9863304360.

Find LCM of 546,908,519,920 with Prime Factorization

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

2 x 2 x 3 x 91 x 227 x 173 x 230 = 9863304360

Therefore, the lowest common multiple of 546,908,519,920 is 9863304360.

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.

546 x 908 x 519 x 920 = 236719304640

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

908 : 1, 2, 4, 227, 454, 908

519 : 1, 3, 173, 519

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,908,519,920, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

908:2x 2x 227

519:3x 173

920:2x 2x 2x 5x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 236719304640/(1x24)

LCM = 236719304640/24

LCM = 9863304360

Thus, we can understand that the LCM of 546,908,519,920 is 9863304360.

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

• LCM of 983, 520, 345, 965
• LCM of 695, 633, 693, 102
• LCM of 603, 567, 620, 669
• LCM of 607, 597, 230, 314
• LCM of 259, 836, 847, 549

1. What is the LCM of 546, 908, 519, 920?

Answer: LCM of 546, 908, 519, 920 is 9863304360.

2. How to calculate the LCM of 546, 908, 519, 920?

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 546, 908, 519, 920.

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}.