Given numbers are 968,348,528,730,820

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

The LCM of 968,348,528,730,820 is 2520584880.

Find LCM of 968,348,528,730,820 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 11 x 29 x 2 x 73 x 41 = 2520584880

Therefore, the lowest common multiple of 968,348,528,730,820 is 2520584880.

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.

968 x 348 x 528 x 730 x 820 = 106469505331200

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.

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

730 : 1, 2, 5, 10, 73, 146, 365, 730

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,348,528,730,820, is 2.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

348:2x 2x 3x 29

528:2x 2x 2x 2x 3x 11

730:2x 5x 73

820:2x 2x 5x 41

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 2x 3x 5x 11 = 21120

Therefore, the value for common factors is 21120.

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 = 106469505331200/(2x21120)

LCM = 106469505331200/42240

LCM = 2520584880

Thus, we can understand that the LCM of 968,348,528,730,820 is 2520584880.

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

• LCM of 858, 945, 178, 262, 634
• LCM of 778, 948, 566, 118, 843
• LCM of 555, 229, 724, 451, 836
• LCM of 574, 199, 169, 740, 130
• LCM of 179, 892, 411, 438, 113

1. What is the LCM of 968, 348, 528, 730, 820?

Answer: LCM of 968, 348, 528, 730, 820 is 2520584880.

2. How to calculate the LCM of 968, 348, 528, 730, 820?

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 968, 348, 528, 730, 820.

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}.