Given numbers are 826,767,213,644,728

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

The LCM of 826,767,213,644,728 is 210421848.

Find LCM of 826,767,213,644,728 with Prime Factorization

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

2 x 2 x 7 x 13 x 59 x 1 x 1 x 213 x 23 x 2 = 210421848

Therefore, the lowest common multiple of 826,767,213,644,728 is 210421848.

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.

826 x 767 x 213 x 644 x 728 = 63266274507072

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

767 : 1, 13, 59, 767

213 : 1, 3, 71, 213

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,767,213,644,728, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

767:13x 59

213:3x 71

644:2x 2x 7x 23

728:2x 2x 2x 7x 13

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 7x 7x 13x 59 = 300664

Therefore, the value for common factors is 300664.

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 = 63266274507072/(1x300664)

LCM = 63266274507072/300664

LCM = 210421848

Thus, we can understand that the LCM of 826,767,213,644,728 is 210421848.

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

• LCM of 558, 441, 842, 364, 976
• LCM of 238, 776, 799, 864, 715
• LCM of 868, 917, 961, 885, 645
• LCM of 803, 971, 944, 563, 413
• LCM of 867, 309, 917, 164, 836

1. What is the LCM of 826, 767, 213, 644, 728?

Answer: LCM of 826, 767, 213, 644, 728 is 210421848.

2. How to calculate the LCM of 826, 767, 213, 644, 728?

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 826, 767, 213, 644, 728.

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}.