Given numbers are 856,261,720,708,726

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

The LCM of 856,261,720,708,726 is 15949668240.

Find LCM of 856,261,720,708,726 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 107 x 29 x 10 x 59 x 121 = 15949668240

Therefore, the lowest common multiple of 856,261,720,708,726 is 15949668240.

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.

856 x 261 x 720 x 708 x 726 = 82683080156160

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.

856 : 1, 2, 4, 8, 107, 214, 428, 856

261 : 1, 3, 9, 29, 87, 261

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 856,261,720,708,726, is 1.

Now, the common factors can be found like this.

856:2x 2x 2x 107

261:3x 3x 29

720:2x 2x 2x 2x 3x 3x 5

708:2x 2x 3x 59

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 2x 2x 2x 2x 3x 3x 3x 3 = 5184

Therefore, the value for common factors is 5184.

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 = 82683080156160/(1x5184)

LCM = 82683080156160/5184

LCM = 15949668240

Thus, we can understand that the LCM of 856,261,720,708,726 is 15949668240.

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

• LCM of 324, 385, 131, 733, 786
• LCM of 305, 159, 442, 426, 399
• LCM of 534, 549, 514, 420, 588
• LCM of 785, 170, 580, 694, 963
• LCM of 822, 225, 983, 781, 517

1. What is the LCM of 856, 261, 720, 708, 726?

Answer: LCM of 856, 261, 720, 708, 726 is 15949668240.

2. How to calculate the LCM of 856, 261, 720, 708, 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 856, 261, 720, 708, 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}.