Given numbers are 316,224,461,416

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

The LCM of 316,224,461,416 is 106052128.

Find LCM of 316,224,461,416 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 79 x 7 x 461 x 13 = 106052128

Therefore, the lowest common multiple of 316,224,461,416 is 106052128.

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 224 x 461 x 416 = 13574672384

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

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

461 : 1, 461

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,224,461,416, is 1.

Now, the common factors can be found like this.

316:2x 2x 79

224:2x 2x 2x 2x 2x 7

461:461

416:2x 2x 2x 2x 2x 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 2 = 128

Therefore, the value for common factors is 128.

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 = 13574672384/(1x128)

LCM = 13574672384/128

LCM = 106052128

Thus, we can understand that the LCM of 316,224,461,416 is 106052128.

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

• LCM of 139, 787, 784, 242
• LCM of 968, 437, 996, 420
• LCM of 110, 101, 995, 257
• LCM of 372, 347, 549, 804
• LCM of 119, 282, 198, 733

1. What is the LCM of 316, 224, 461, 416?

Answer: LCM of 316, 224, 461, 416 is 106052128.

2. How to calculate the LCM of 316, 224, 461, 416?

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, 224, 461, 416.

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}.