Given numbers are 735,638,528,523,126

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

The LCM of 735,638,528,523,126 is 5886009360.

Find LCM of 735,638,528,523,126 with Prime Factorization

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

2 x 3 x 7 x 11 x 35 x 29 x 8 x 523 x 3 = 5886009360

Therefore, the lowest common multiple of 735,638,528,523,126 is 5886009360.

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.

735 x 638 x 528 x 523 x 126 = 16316017945920

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

638 : 1, 2, 11, 22, 29, 58, 319, 638

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

523 : 1, 523

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,638,528,523,126, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

638:2x 11x 29

528:2x 2x 2x 2x 3x 11

523:523

126:2x 3x 3x 7

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 7x 11 = 2772

Therefore, the value for common factors is 2772.

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 = 16316017945920/(1x2772)

LCM = 16316017945920/2772

LCM = 5886009360

Thus, we can understand that the LCM of 735,638,528,523,126 is 5886009360.

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

• LCM of 517, 682, 436, 424, 364
• LCM of 724, 643, 973, 765, 534
• LCM of 652, 191, 455, 231, 756
• LCM of 162, 748, 498, 926, 155
• LCM of 501, 710, 267, 688, 652

1. What is the LCM of 735, 638, 528, 523, 126?

Answer: LCM of 735, 638, 528, 523, 126 is 5886009360.

2. How to calculate the LCM of 735, 638, 528, 523, 126?

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 735, 638, 528, 523, 126.

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}.