Given numbers are 572,208,988,990,116

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

The LCM of 572,208,988,990,116 is 56730960.

Find LCM of 572,208,988,990,116 with Prime Factorization

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

2 x 2 x 11 x 13 x 1 x 4 x 19 x 45 x 29 = 56730960

Therefore, the lowest common multiple of 572,208,988,990,116 is 56730960.

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.

572 x 208 x 988 x 990 x 116 = 13499245393920

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.

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

116 : 1, 2, 4, 29, 58, 116

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,208,988,990,116, is 2.

Now, the common factors can be found like this.

572:2x 2x 11x 13

208:2x 2x 2x 2x 13

988:2x 2x 13x 19

990:2x 3x 3x 5x 11

116:2x 2x 29

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 2x 11x 13x 13 = 118976

Therefore, the value for common factors is 118976.

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 = 13499245393920/(2x118976)

LCM = 13499245393920/237952

LCM = 56730960

Thus, we can understand that the LCM of 572,208,988,990,116 is 56730960.

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

• LCM of 260, 534, 978, 870, 387
• LCM of 112, 132, 659, 730, 189
• LCM of 939, 616, 905, 437, 701
• LCM of 961, 163, 943, 767, 281
• LCM of 446, 486, 427, 627, 396

1. What is the LCM of 572, 208, 988, 990, 116?

Answer: LCM of 572, 208, 988, 990, 116 is 56730960.

2. How to calculate the LCM of 572, 208, 988, 990, 116?

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 572, 208, 988, 990, 116.

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}.