Given numbers are 842,213,814,720,421

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

The LCM of 842,213,814,720,421 is 8759258640.

Find LCM of 842,213,814,720,421 with Prime Factorization

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

2 x 3 x 421 x 1 x 71 x 407 x 120 x 1 = 8759258640

Therefore, the lowest common multiple of 842,213,814,720,421 is 8759258640.

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.

842 x 213 x 814 x 720 x 421 = 44251774649280

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.

842 : 1, 2, 421, 842

213 : 1, 3, 71, 213

814 : 1, 2, 11, 22, 37, 74, 407, 814

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

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,213,814,720,421, is 1.

Now, the common factors can be found like this.

842:2x 421

213:3x 71

814:2x 11x 37

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

421:421

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 3x 421 = 5052

Therefore, the value for common factors is 5052.

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 = 44251774649280/(1x5052)

LCM = 44251774649280/5052

LCM = 8759258640

Thus, we can understand that the LCM of 842,213,814,720,421 is 8759258640.

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

• LCM of 904, 754, 687, 196, 479
• LCM of 733, 886, 641, 573, 606
• LCM of 237, 686, 736, 847, 147
• LCM of 645, 564, 951, 952, 992
• LCM of 367, 385, 173, 681, 569

1. What is the LCM of 842, 213, 814, 720, 421?

Answer: LCM of 842, 213, 814, 720, 421 is 8759258640.

2. How to calculate the LCM of 842, 213, 814, 720, 421?

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 842, 213, 814, 720, 421.

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}.