Given numbers are 654,538,840,382

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

The LCM of 654,538,840,382 is 4704261240.

Find LCM of 654,538,840,382 with Prime Factorization

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

2 x 3 x 109 x 269 x 140 x 191 = 4704261240

Therefore, the lowest common multiple of 654,538,840,382 is 4704261240.

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.

654 x 538 x 840 x 382 = 112902269760

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

538 : 1, 2, 269, 538

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

382 : 1, 2, 191, 382

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,538,840,382, is 2.

Now, the common factors can be found like this.

654:2x 3x 109

538:2x 269

840:2x 2x 2x 3x 5x 7

382:2x 191

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 3 = 12

Therefore, the value for common factors is 12.

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 = 112902269760/(2x12)

LCM = 112902269760/24

LCM = 4704261240

Thus, we can understand that the LCM of 654,538,840,382 is 4704261240.

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

• LCM of 853, 915, 462, 502
• LCM of 493, 981, 870, 368
• LCM of 443, 358, 135, 518
• LCM of 669, 723, 263, 959
• LCM of 681, 357, 283, 727

1. What is the LCM of 654, 538, 840, 382?

Answer: LCM of 654, 538, 840, 382 is 4704261240.

2. How to calculate the LCM of 654, 538, 840, 382?

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 654, 538, 840, 382.

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}.