Given numbers are 684,540,468,557

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

The LCM of 684,540,468,557 is 74292660.

Find LCM of 684,540,468,557 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 15 x 13 x 557 = 74292660

Therefore, the lowest common multiple of 684,540,468,557 is 74292660.

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.

684 x 540 x 468 x 557 = 96283287360

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,540,468,557, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

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

468:2x 2x 3x 3x 13

557:557

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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 96283287360/(1x1296)

LCM = 96283287360/1296

LCM = 74292660

Thus, we can understand that the LCM of 684,540,468,557 is 74292660.

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

• LCM of 212, 494, 543, 579
• LCM of 172, 601, 971, 319
• LCM of 782, 181, 393, 750
• LCM of 161, 692, 430, 478
• LCM of 568, 212, 653, 888

1. What is the LCM of 684, 540, 468, 557?

Answer: LCM of 684, 540, 468, 557 is 74292660.

2. How to calculate the LCM of 684, 540, 468, 557?

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 684, 540, 468, 557.

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}.