Given numbers are 564,128,691,736,639

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

The LCM of 564,128,691,736,639 is 61096252032.

Find LCM of 564,128,691,736,639 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 47 x 4 x 691 x 23 x 213 = 61096252032

Therefore, the lowest common multiple of 564,128,691,736,639 is 61096252032.

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 128 x 691 x 736 x 639 = 23460960780288

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

691 : 1, 691

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

639 : 1, 3, 9, 71, 213, 639

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,128,691,736,639, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

128:2x 2x 2x 2x 2x 2x 2

691:691

736:2x 2x 2x 2x 2x 23

639:3x 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 2x 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 23460960780288/(1x384)

LCM = 23460960780288/384

LCM = 61096252032

Thus, we can understand that the LCM of 564,128,691,736,639 is 61096252032.

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

• LCM of 156, 786, 276, 335, 367
• LCM of 410, 238, 736, 947, 313
• LCM of 697, 508, 225, 453, 857
• LCM of 813, 272, 457, 390, 254
• LCM of 714, 634, 272, 111, 258

1. What is the LCM of 564, 128, 691, 736, 639?

Answer: LCM of 564, 128, 691, 736, 639 is 61096252032.

2. How to calculate the LCM of 564, 128, 691, 736, 639?

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, 128, 691, 736, 639.

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}.