Given numbers are 546,760,572,509

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

The LCM of 546,760,572,509 is 1161680520.

Find LCM of 546,760,572,509 with Prime Factorization

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

2 x 2 x 13 x 21 x 190 x 11 x 509 = 1161680520

Therefore, the lowest common multiple of 546,760,572,509 is 1161680520.

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 760 x 572 x 509 = 120814774080

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

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

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

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,760,572,509, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

760:2x 2x 2x 5x 19

572:2x 2x 11x 13

509:509

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 13 = 104

Therefore, the value for common factors is 104.

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 = 120814774080/(1x104)

LCM = 120814774080/104

LCM = 1161680520

Thus, we can understand that the LCM of 546,760,572,509 is 1161680520.

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

• LCM of 820, 510, 816, 564
• LCM of 718, 477, 718, 469
• LCM of 677, 989, 315, 962
• LCM of 373, 689, 921, 710
• LCM of 835, 174, 338, 490

1. What is the LCM of 546, 760, 572, 509?

Answer: LCM of 546, 760, 572, 509 is 1161680520.

2. How to calculate the LCM of 546, 760, 572, 509?

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, 760, 572, 509.

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}.