Given numbers are 540,636,143,922,924

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

The LCM of 540,636,143,922,924 is 13207013820.

Find LCM of 540,636,143,922,924 with Prime Factorization

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

2 x 2 x 3 x 11 x 45 x 53 x 13 x 461 x 7 = 13207013820

Therefore, the lowest common multiple of 540,636,143,922,924 is 13207013820.

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 636 x 143 x 922 x 924 = 41839819781760

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

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

143 : 1, 11, 13, 143

922 : 1, 2, 461, 922

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,636,143,922,924, is 1.

Now, the common factors can be found like this.

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

636:2x 2x 3x 53

143:11x 13

922:2x 461

924:2x 2x 3x 7x 11

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 2x 3x 3x 11 = 3168

Therefore, the value for common factors is 3168.

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 = 41839819781760/(1x3168)

LCM = 41839819781760/3168

LCM = 13207013820

Thus, we can understand that the LCM of 540,636,143,922,924 is 13207013820.

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

• LCM of 572, 870, 297, 264, 552
• LCM of 802, 816, 898, 500, 678
• LCM of 766, 844, 184, 816, 984
• LCM of 715, 643, 428, 531, 887
• LCM of 314, 464, 187, 536, 628

1. What is the LCM of 540, 636, 143, 922, 924?

Answer: LCM of 540, 636, 143, 922, 924 is 13207013820.

2. How to calculate the LCM of 540, 636, 143, 922, 924?

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, 636, 143, 922, 924.

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}.