Given numbers are 313,121,968,312,352

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

The LCM of 313,121,968,312,352 is 47265504.

Find LCM of 313,121,968,312,352 with Prime Factorization

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

2 x 2 x 2 x 11 x 11 x 313 x 1 x 1 x 39 x 4 = 47265504

Therefore, the lowest common multiple of 313,121,968,312,352 is 47265504.

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.

313 x 121 x 968 x 312 x 352 = 4026264692736

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.

313 : 1, 313

121 : 1, 11, 121

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

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

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,121,968,312,352, is 1.

Now, the common factors can be found like this.

313:313

121:11x 11

968:2x 2x 2x 11x 11

312:2x 2x 2x 3x 13

352:2x 2x 2x 2x 2x 11

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 11x 11x 11 = 85184

Therefore, the value for common factors is 85184.

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 = 4026264692736/(1x85184)

LCM = 4026264692736/85184

LCM = 47265504

Thus, we can understand that the LCM of 313,121,968,312,352 is 47265504.

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

• LCM of 645, 668, 566, 440, 455
• LCM of 941, 299, 669, 391, 317
• LCM of 262, 209, 272, 665, 689
• LCM of 389, 413, 329, 208, 884
• LCM of 854, 419, 122, 148, 605

1. What is the LCM of 313, 121, 968, 312, 352?

Answer: LCM of 313, 121, 968, 312, 352 is 47265504.

2. How to calculate the LCM of 313, 121, 968, 312, 352?

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 313, 121, 968, 312, 352.

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}.