Given numbers are 972,326,144,811,312

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

The LCM of 972,326,144,811,312 is 6681562992.

Find LCM of 972,326,144,811,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 27 x 163 x 2 x 811 x 13 = 6681562992

Therefore, the lowest common multiple of 972,326,144,811,312 is 6681562992.

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.

972 x 326 x 144 x 811 x 312 = 11545740850176

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

326 : 1, 2, 163, 326

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

811 : 1, 811

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,326,144,811,312, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

326:2x 163

144:2x 2x 2x 2x 3x 3

811:811

312:2x 2x 2x 3x 13

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 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 11545740850176/(1x1728)

LCM = 11545740850176/1728

LCM = 6681562992

Thus, we can understand that the LCM of 972,326,144,811,312 is 6681562992.

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

• LCM of 790, 710, 762, 305, 509
• LCM of 525, 550, 321, 858, 119
• LCM of 686, 577, 799, 733, 727
• LCM of 213, 947, 365, 849, 993
• LCM of 206, 270, 613, 674, 340

1. What is the LCM of 972, 326, 144, 811, 312?

Answer: LCM of 972, 326, 144, 811, 312 is 6681562992.

2. How to calculate the LCM of 972, 326, 144, 811, 312?

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 972, 326, 144, 811, 312.

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}.