Given numbers are 126,272,976,969,326

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

The LCM of 126,272,976,969,326 is 3237281712.

Find LCM of 126,272,976,969,326 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 21 x 1 x 61 x 19 x 163 = 3237281712

Therefore, the lowest common multiple of 126,272,976,969,326 is 3237281712.

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.

126 x 272 x 976 x 969 x 326 = 10566487507968

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.

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

326 : 1, 2, 163, 326

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,272,976,969,326, is 1.

Now, the common factors can be found like this.

126:2x 3x 3x 7

272:2x 2x 2x 2x 17

976:2x 2x 2x 2x 61

969:3x 17x 19

326:2x 163

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 3x 17 = 3264

Therefore, the value for common factors is 3264.

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 = 10566487507968/(1x3264)

LCM = 10566487507968/3264

LCM = 3237281712

Thus, we can understand that the LCM of 126,272,976,969,326 is 3237281712.

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

• LCM of 441, 384, 154, 529, 919
• LCM of 817, 210, 578, 240, 488
• LCM of 346, 962, 406, 892, 443
• LCM of 209, 990, 698, 213, 484
• LCM of 117, 267, 734, 672, 682

1. What is the LCM of 126, 272, 976, 969, 326?

Answer: LCM of 126, 272, 976, 969, 326 is 3237281712.

2. How to calculate the LCM of 126, 272, 976, 969, 326?

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 126, 272, 976, 969, 326.

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}.