Given numbers are 654,826,438,242,540

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

The LCM of 654,826,438,242,540 is 214722986940.

Find LCM of 654,826,438,242,540 with Prime Factorization

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

2 x 3 x 109 x 413 x 73 x 121 x 90 = 214722986940

Therefore, the lowest common multiple of 654,826,438,242,540 is 214722986940.

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 826 x 438 x 242 x 540 = 30920110119360

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

826 : 1, 2, 7, 14, 59, 118, 413, 826

438 : 1, 2, 3, 6, 73, 146, 219, 438

242 : 1, 2, 11, 22, 121, 242

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,826,438,242,540, is 2.

Now, the common factors can be found like this.

654:2x 3x 109

826:2x 7x 59

438:2x 3x 73

242:2x 11x 11

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

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 30920110119360/(2x72)

LCM = 30920110119360/144

LCM = 214722986940

Thus, we can understand that the LCM of 654,826,438,242,540 is 214722986940.

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

• LCM of 721, 667, 189, 196, 554
• LCM of 594, 483, 419, 223, 136
• LCM of 366, 945, 892, 436, 920
• LCM of 932, 262, 983, 772, 560
• LCM of 842, 312, 671, 153, 951

1. What is the LCM of 654, 826, 438, 242, 540?

Answer: LCM of 654, 826, 438, 242, 540 is 214722986940.

2. How to calculate the LCM of 654, 826, 438, 242, 540?

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, 826, 438, 242, 540.

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}.