Given numbers are 540,877,724,688

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

The LCM of 540,877,724,688 is 14743492560.

Find LCM of 540,877,724,688 with Prime Factorization

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

2 x 2 x 135 x 877 x 181 x 172 = 14743492560

Therefore, the lowest common multiple of 540,877,724,688 is 14743492560.

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.

540 x 877 x 724 x 688 = 235895880960

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

877 : 1, 877

724 : 1, 2, 4, 181, 362, 724

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,877,724,688, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

877:877

724:2x 2x 181

688:2x 2x 2x 2x 43

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 2 = 16

Therefore, the value for common factors is 16.

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 = 235895880960/(1x16)

LCM = 235895880960/16

LCM = 14743492560

Thus, we can understand that the LCM of 540,877,724,688 is 14743492560.

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

• LCM of 672, 692, 854, 217
• LCM of 832, 988, 595, 761
• LCM of 760, 730, 435, 985
• LCM of 495, 865, 422, 245
• LCM of 439, 130, 844, 900

1. What is the LCM of 540, 877, 724, 688?

Answer: LCM of 540, 877, 724, 688 is 14743492560.

2. How to calculate the LCM of 540, 877, 724, 688?

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 540, 877, 724, 688.

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}.