Given numbers are 976,702,156,528,514

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

The LCM of 976,702,156,528,514 is 968462352.

Find LCM of 976,702,156,528,514 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 61 x 9 x 1 x 11 x 257 = 968462352

Therefore, the lowest common multiple of 976,702,156,528,514 is 968462352.

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.

976 x 702 x 156 x 528 x 514 = 29007384367104

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.

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,702,156,528,514, is 2.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

702:2x 3x 3x 3x 13

156:2x 2x 3x 13

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

514:2x 257

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 3x 13 = 14976

Therefore, the value for common factors is 14976.

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 = 29007384367104/(2x14976)

LCM = 29007384367104/29952

LCM = 968462352

Thus, we can understand that the LCM of 976,702,156,528,514 is 968462352.

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

• LCM of 756, 139, 864, 449, 429
• LCM of 562, 733, 345, 968, 924
• LCM of 823, 138, 899, 764, 213
• LCM of 850, 960, 816, 146, 779
• LCM of 913, 303, 616, 586, 815

1. What is the LCM of 976, 702, 156, 528, 514?

Answer: LCM of 976, 702, 156, 528, 514 is 968462352.

2. How to calculate the LCM of 976, 702, 156, 528, 514?

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 976, 702, 156, 528, 514.

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}.