Given numbers are 840,520,706,561,642

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

The LCM of 840,520,706,561,642 is 77129892840.

Find LCM of 840,520,706,561,642 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 7 x 13 x 353 x 187 x 107 = 77129892840

Therefore, the lowest common multiple of 840,520,706,561,642 is 77129892840.

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.

840 x 520 x 706 x 561 x 642 = 111067045689600

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

706 : 1, 2, 353, 706

561 : 1, 3, 11, 17, 33, 51, 187, 561

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,520,706,561,642, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

520:2x 2x 2x 5x 13

706:2x 353

561:3x 11x 17

642:2x 3x 107

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 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 111067045689600/(1x1440)

LCM = 111067045689600/1440

LCM = 77129892840

Thus, we can understand that the LCM of 840,520,706,561,642 is 77129892840.

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

• LCM of 436, 995, 540, 633, 550
• LCM of 989, 701, 675, 463, 808
• LCM of 902, 868, 218, 260, 662
• LCM of 429, 808, 886, 848, 746
• LCM of 507, 135, 839, 715, 248

1. What is the LCM of 840, 520, 706, 561, 642?

Answer: LCM of 840, 520, 706, 561, 642 is 77129892840.

2. How to calculate the LCM of 840, 520, 706, 561, 642?

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 840, 520, 706, 561, 642.

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}.