Given numbers are 840,642,780,929,852

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

The LCM of 840,642,780,929,852 is 77069133960.

Find LCM of 840,642,780,929,852 with Prime Factorization

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

2 x 2 x 3 x 5 x 14 x 107 x 13 x 929 x 71 = 77069133960

Therefore, the lowest common multiple of 840,642,780,929,852 is 77069133960.

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 642 x 780 x 929 x 852 = 332938658707200

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

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

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

929 : 1, 929

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,642,780,929,852, is 1.

Now, the common factors can be found like this.

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

642:2x 3x 107

780:2x 2x 3x 5x 13

929:929

852:2x 2x 3x 71

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 3x 5 = 4320

Therefore, the value for common factors is 4320.

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 = 332938658707200/(1x4320)

LCM = 332938658707200/4320

LCM = 77069133960

Thus, we can understand that the LCM of 840,642,780,929,852 is 77069133960.

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

• LCM of 642, 854, 172, 467, 406
• LCM of 198, 119, 150, 467, 149
• LCM of 723, 613, 802, 877, 510
• LCM of 616, 116, 450, 571, 534
• LCM of 945, 217, 899, 337, 767

1. What is the LCM of 840, 642, 780, 929, 852?

Answer: LCM of 840, 642, 780, 929, 852 is 77069133960.

2. How to calculate the LCM of 840, 642, 780, 929, 852?

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, 642, 780, 929, 852.

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}.