Given numbers are 546,780,782,404,572

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

The LCM of 546,780,782,404,572 is 2371829460.

Find LCM of 546,780,782,404,572 with Prime Factorization

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

2 x 2 x 3 x 13 x 7 x 5 x 391 x 101 x 11 = 2371829460

Therefore, the lowest common multiple of 546,780,782,404,572 is 2371829460.

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 780 x 782 x 404 x 572 = 76961122318080

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

782 : 1, 2, 17, 23, 34, 46, 391, 782

404 : 1, 2, 4, 101, 202, 404

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,780,782,404,572, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

780:2x 2x 3x 5x 13

782:2x 17x 23

404:2x 2x 101

572:2x 2x 11x 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 3x 13x 13 = 16224

Therefore, the value for common factors is 16224.

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 = 76961122318080/(2x16224)

LCM = 76961122318080/32448

LCM = 2371829460

Thus, we can understand that the LCM of 546,780,782,404,572 is 2371829460.

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

• LCM of 784, 863, 696, 122, 309
• LCM of 408, 565, 433, 818, 381
• LCM of 289, 358, 771, 359, 462
• LCM of 731, 133, 427, 211, 325
• LCM of 815, 946, 137, 863, 745

1. What is the LCM of 546, 780, 782, 404, 572?

Answer: LCM of 546, 780, 782, 404, 572 is 2371829460.

2. How to calculate the LCM of 546, 780, 782, 404, 572?

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, 780, 782, 404, 572.

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}.