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LCM of 316, 226, 411, 499, 634

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 316, 226, 411, 499, 634 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 316, 226, 411, 499, 634. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 316,226,411,499,634

Given numbers are 316,226,411,499,634

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

The LCM of 316,226,411,499,634 is 2321491809804.

Find LCM of 316,226,411,499,634 with Prime Factorization


2 316, 226, 411, 499, 634
158, 113, 411, 499, 317

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

2 x 158 x 113 x 411 x 499 x 317 = 2321491809804

Therefore, the lowest common multiple of 316,226,411,499,634 is 2321491809804.

LCM Formula to Find Lowest Common Multiple of 316,226,411,499,634

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 226 x 411 x 499 x 634 = 9285967239216

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

226 : 1, 2, 113, 226

411 : 1, 3, 137, 411

499 : 1, 499

634 : 1, 2, 317, 634

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,226,411,499,634, is 1.

Now, the common factors can be found like this.

316:2x 2x 79

226:2x 113

411:3x 137

499:499

634:2x 317

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9285967239216/(1x4)

LCM = 9285967239216/4

LCM = 2321491809804

Thus, we can understand that the LCM of 316,226,411,499,634 is 2321491809804.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 316, 226, 411, 499, 634

1. What is the LCM of 316, 226, 411, 499, 634?

Answer: LCM of 316, 226, 411, 499, 634 is 2321491809804.

2. How to calculate the LCM of 316, 226, 411, 499, 634?

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, 226, 411, 499, 634.

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}.