Given numbers are 540,418,682,724,695

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

The LCM of 540,418,682,724,695 is 88022786940.

Find LCM of 540,418,682,724,695 with Prime Factorization

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

2 x 2 x 5 x 11 x 27 x 19 x 31 x 181 x 139 = 88022786940

Therefore, the lowest common multiple of 540,418,682,724,695 is 88022786940.

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 418 x 682 x 724 x 695 = 77460052507200

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

682 : 1, 2, 11, 22, 31, 62, 341, 682

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

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,418,682,724,695, is 1.

Now, the common factors can be found like this.

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

418:2x 11x 19

682:2x 11x 31

724:2x 2x 181

695:5x 139

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 5x 11 = 880

Therefore, the value for common factors is 880.

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 = 77460052507200/(1x880)

LCM = 77460052507200/880

LCM = 88022786940

Thus, we can understand that the LCM of 540,418,682,724,695 is 88022786940.

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

• LCM of 747, 359, 833, 690, 507
• LCM of 526, 614, 270, 774, 915
• LCM of 249, 508, 152, 514, 146
• LCM of 991, 604, 544, 648, 570
• LCM of 711, 669, 667, 411, 112

1. What is the LCM of 540, 418, 682, 724, 695?

Answer: LCM of 540, 418, 682, 724, 695 is 88022786940.

2. How to calculate the LCM of 540, 418, 682, 724, 695?

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, 418, 682, 724, 695.

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}.