Given numbers are 316,374,493,112,688

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

The LCM of 316,374,493,112,688 is 2063256272.

Find LCM of 316,374,493,112,688 with Prime Factorization

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

2 x 2 x 2 x 2 x 17 x 79 x 11 x 29 x 7 x 43 = 2063256272

Therefore, the lowest common multiple of 316,374,493,112,688 is 2063256272.

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.

316 x 374 x 493 x 112 x 688 = 4489645647872

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.

316 : 1, 2, 4, 79, 158, 316

374 : 1, 2, 11, 17, 22, 34, 187, 374

493 : 1, 17, 29, 493

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,374,493,112,688, is 1.

Now, the common factors can be found like this.

316:2x 2x 79

374:2x 11x 17

493:17x 29

112:2x 2x 2x 2x 7

688:2x 2x 2x 2x 43

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 17 = 2176

Therefore, the value for common factors is 2176.

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 = 4489645647872/(1x2176)

LCM = 4489645647872/2176

LCM = 2063256272

Thus, we can understand that the LCM of 316,374,493,112,688 is 2063256272.

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

• LCM of 154, 189, 139, 161, 269
• LCM of 597, 155, 779, 514, 709
• LCM of 293, 436, 512, 815, 338
• LCM of 451, 265, 152, 650, 103
• LCM of 480, 495, 653, 190, 898

1. What is the LCM of 316, 374, 493, 112, 688?

Answer: LCM of 316, 374, 493, 112, 688 is 2063256272.

2. How to calculate the LCM of 316, 374, 493, 112, 688?

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 316, 374, 493, 112, 688.

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}.