Given numbers are 564,129,620,762,868

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

The LCM of 564,129,620,762,868 is 3341804340.

Find LCM of 564,129,620,762,868 with Prime Factorization

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

2 x 2 x 3 x 31 x 47 x 43 x 5 x 127 x 7 = 3341804340

Therefore, the lowest common multiple of 564,129,620,762,868 is 3341804340.

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.

564 x 129 x 620 x 762 x 868 = 29835629147520

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

129 : 1, 3, 43, 129

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

762 : 1, 2, 3, 6, 127, 254, 381, 762

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,129,620,762,868, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

129:3x 43

620:2x 2x 5x 31

762:2x 3x 127

868:2x 2x 7x 31

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 31 = 8928

Therefore, the value for common factors is 8928.

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 = 29835629147520/(1x8928)

LCM = 29835629147520/8928

LCM = 3341804340

Thus, we can understand that the LCM of 564,129,620,762,868 is 3341804340.

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

• LCM of 253, 589, 981, 842, 509
• LCM of 857, 922, 951, 674, 896
• LCM of 534, 887, 952, 493, 123
• LCM of 877, 135, 851, 783, 620
• LCM of 297, 468, 792, 451, 585

1. What is the LCM of 564, 129, 620, 762, 868?

Answer: LCM of 564, 129, 620, 762, 868 is 3341804340.

2. How to calculate the LCM of 564, 129, 620, 762, 868?

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 564, 129, 620, 762, 868.

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}.