Given numbers are 312,720,731,971,444

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

The LCM of 312,720,731,971,444 is 245818282320.

Find LCM of 312,720,731,971,444 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 30 x 731 x 971 x 37 = 245818282320

Therefore, the lowest common multiple of 312,720,731,971,444 is 245818282320.

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.

312 x 720 x 731 x 971 x 444 = 70795665308160

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.

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

731 : 1, 17, 43, 731

971 : 1, 971

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,720,731,971,444, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

720:2x 2x 2x 2x 3x 3x 5

731:17x 43

971:971

444:2x 2x 3x 37

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 3 = 288

Therefore, the value for common factors is 288.

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 = 70795665308160/(1x288)

LCM = 70795665308160/288

LCM = 245818282320

Thus, we can understand that the LCM of 312,720,731,971,444 is 245818282320.

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

• LCM of 289, 409, 845, 686, 915
• LCM of 646, 687, 426, 576, 312
• LCM of 262, 713, 846, 577, 671
• LCM of 545, 455, 500, 427, 572
• LCM of 738, 210, 525, 302, 643

1. What is the LCM of 312, 720, 731, 971, 444?

Answer: LCM of 312, 720, 731, 971, 444 is 245818282320.

2. How to calculate the LCM of 312, 720, 731, 971, 444?

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 312, 720, 731, 971, 444.

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}.