Given numbers are 782,572,924,540

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

The LCM of 782,572,924,540 is 211351140.

Find LCM of 782,572,924,540 with Prime Factorization

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

2 x 2 x 3 x 11 x 391 x 13 x 7 x 45 = 211351140

Therefore, the lowest common multiple of 782,572,924,540 is 211351140.

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.

782 x 572 x 924 x 540 = 223186803840

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.

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

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,572,924,540, is 2.

Now, the common factors can be found like this.

782:2x 17x 23

572:2x 2x 11x 13

924:2x 2x 3x 7x 11

540:2x 2x 3x 3x 3x 5

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 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 223186803840/(2x528)

LCM = 223186803840/1056

LCM = 211351140

Thus, we can understand that the LCM of 782,572,924,540 is 211351140.

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

• LCM of 989, 181, 927, 353
• LCM of 773, 217, 927, 670
• LCM of 342, 731, 858, 514
• LCM of 303, 691, 423, 985
• LCM of 442, 342, 791, 154

1. What is the LCM of 782, 572, 924, 540?

Answer: LCM of 782, 572, 924, 540 is 211351140.

2. How to calculate the LCM of 782, 572, 924, 540?

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 782, 572, 924, 540.

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}.