Given numbers are 468,756,651,657

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

The LCM of 468,756,651,657 is 22240764.

Find LCM of 468,756,651,657 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 13 x 3 x 31 x 73 = 22240764

Therefore, the lowest common multiple of 468,756,651,657 is 22240764.

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.

468 x 756 x 651 x 657 = 151326158256

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

651 : 1, 3, 7, 21, 31, 93, 217, 651

657 : 1, 3, 9, 73, 219, 657

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,756,651,657, is 3.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

756:2x 2x 3x 3x 3x 7

651:3x 7x 31

657:3x 3x 73

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 3x 3x 3x 7 = 2268

Therefore, the value for common factors is 2268.

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 = 151326158256/(3x2268)

LCM = 151326158256/6804

LCM = 22240764

Thus, we can understand that the LCM of 468,756,651,657 is 22240764.

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

• LCM of 481, 654, 866, 684
• LCM of 939, 576, 817, 682
• LCM of 723, 547, 308, 383
• LCM of 353, 343, 725, 196
• LCM of 337, 781, 700, 349

1. What is the LCM of 468, 756, 651, 657?

Answer: LCM of 468, 756, 651, 657 is 22240764.

2. How to calculate the LCM of 468, 756, 651, 657?

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 468, 756, 651, 657.

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}.