Given numbers are 540,671,616,806,429

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

The LCM of 540,671,616,806,429 is 2044322280.

Find LCM of 540,671,616,806,429 with Prime Factorization

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

2 x 2 x 3 x 11 x 13 x 45 x 61 x 14 x 31 x 1 = 2044322280

Therefore, the lowest common multiple of 540,671,616,806,429 is 2044322280.

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 671 x 616 x 806 x 429 = 77177254714560

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

671 : 1, 11, 61, 671

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

806 : 1, 2, 13, 26, 31, 62, 403, 806

429 : 1, 3, 11, 13, 33, 39, 143, 429

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,671,616,806,429, is 1.

Now, the common factors can be found like this.

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

671:11x 61

616:2x 2x 2x 7x 11

806:2x 13x 31

429:3x 11x 13

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 11x 11x 13 = 37752

Therefore, the value for common factors is 37752.

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 = 77177254714560/(1x37752)

LCM = 77177254714560/37752

LCM = 2044322280

Thus, we can understand that the LCM of 540,671,616,806,429 is 2044322280.

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

• LCM of 487, 248, 342, 863, 712
• LCM of 494, 996, 285, 282, 820
• LCM of 762, 166, 437, 832, 770
• LCM of 886, 516, 134, 678, 860
• LCM of 844, 150, 162, 885, 421

1. What is the LCM of 540, 671, 616, 806, 429?

Answer: LCM of 540, 671, 616, 806, 429 is 2044322280.

2. How to calculate the LCM of 540, 671, 616, 806, 429?

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, 671, 616, 806, 429.

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}.