Given numbers are 957,956,990,420,968

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

The LCM of 957,956,990,420,968 is 2113400520.

Find LCM of 957,956,990,420,968 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 29 x 239 x 3 x 7 x 22 = 2113400520

Therefore, the lowest common multiple of 957,956,990,420,968 is 2113400520.

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.

957 x 956 x 990 x 420 x 968 = 368238906604800

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.

957 : 1, 3, 11, 29, 33, 87, 319, 957

956 : 1, 2, 4, 239, 478, 956

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,956,990,420,968, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

956:2x 2x 239

990:2x 3x 3x 5x 11

420:2x 2x 3x 5x 7

968:2x 2x 2x 11x 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 5x 11x 11 = 174240

Therefore, the value for common factors is 174240.

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 = 368238906604800/(1x174240)

LCM = 368238906604800/174240

LCM = 2113400520

Thus, we can understand that the LCM of 957,956,990,420,968 is 2113400520.

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

• LCM of 993, 201, 390, 240, 695
• LCM of 653, 749, 870, 496, 785
• LCM of 447, 197, 334, 302, 196
• LCM of 470, 777, 885, 489, 501
• LCM of 228, 992, 120, 904, 117

1. What is the LCM of 957, 956, 990, 420, 968?

Answer: LCM of 957, 956, 990, 420, 968 is 2113400520.

2. How to calculate the LCM of 957, 956, 990, 420, 968?

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 957, 956, 990, 420, 968.

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}.