Given numbers are 828,257,710,726

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

The LCM of 828,257,710,726 is 9140652180.

Find LCM of 828,257,710,726 with Prime Factorization

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

2 x 3 x 138 x 257 x 355 x 121 = 9140652180

Therefore, the lowest common multiple of 828,257,710,726 is 9140652180.

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.

828 x 257 x 710 x 726 = 109687826160

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

257 : 1, 257

710 : 1, 2, 5, 10, 71, 142, 355, 710

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,257,710,726, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

257:257

710:2x 5x 71

726:2x 3x 11x 11

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 3 = 12

Therefore, the value for common factors is 12.

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 = 109687826160/(1x12)

LCM = 109687826160/12

LCM = 9140652180

Thus, we can understand that the LCM of 828,257,710,726 is 9140652180.

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

• LCM of 951, 413, 633, 947
• LCM of 736, 736, 718, 661
• LCM of 907, 267, 354, 682
• LCM of 668, 546, 728, 139
• LCM of 501, 281, 944, 786

1. What is the LCM of 828, 257, 710, 726?

Answer: LCM of 828, 257, 710, 726 is 9140652180.

2. How to calculate the LCM of 828, 257, 710, 726?

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 828, 257, 710, 726.

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}.