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LCM of 408, 411, 627, 682

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


Find the LCM of 408, 411, 627, 682 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 408, 411, 627, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 408,411,627,682

Given numbers are 408,411,627,682

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

The LCM of 408,411,627,682 is 362150184.

Find LCM of 408,411,627,682 with Prime Factorization


2 408, 411, 627, 682
3 204, 411, 627, 341
11 68, 137, 209, 341
68, 137, 19, 31

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

2 x 3 x 11 x 68 x 137 x 19 x 31 = 362150184

Therefore, the lowest common multiple of 408,411,627,682 is 362150184.

LCM Formula to Find Lowest Common Multiple of 408,411,627,682

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.

408 x 411 x 627 x 682 = 71705736432

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

411 : 1, 3, 137, 411

627 : 1, 3, 11, 19, 33, 57, 209, 627

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,411,627,682, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

411:3x 137

627:3x 11x 19

682:2x 11x 31

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

2x 3x 3x 11 = 198

Therefore, the value for common factors is 198.

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 = 71705736432/(1x198)

LCM = 71705736432/198

LCM = 362150184

Thus, we can understand that the LCM of 408,411,627,682 is 362150184.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 408, 411, 627, 682

1. What is the LCM of 408, 411, 627, 682?

Answer: LCM of 408, 411, 627, 682 is 362150184.

2. How to calculate the LCM of 408, 411, 627, 682?

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 408, 411, 627, 682.

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}.