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LCM of 639, 414, 575, 379

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


Find the LCM of 639, 414, 575, 379 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 639, 414, 575, 379. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 639,414,575,379

Given numbers are 639,414,575,379

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

The LCM of 639,414,575,379 is 278508150.

Find LCM of 639,414,575,379 with Prime Factorization


3 639, 414, 575, 379
3 213, 138, 575, 379
23 71, 46, 575, 379
71, 2, 25, 379

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

3 x 3 x 23 x 71 x 2 x 25 x 379 = 278508150

Therefore, the lowest common multiple of 639,414,575,379 is 278508150.

LCM Formula to Find Lowest Common Multiple of 639,414,575,379

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.

639 x 414 x 575 x 379 = 57651187050

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.

639 : 1, 3, 9, 71, 213, 639

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

575 : 1, 5, 23, 25, 115, 575

379 : 1, 379

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,414,575,379, is 1.

Now, the common factors can be found like this.

639:3x 3x 71

414:2x 3x 3x 23

575:5x 5x 23

379:379

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 57651187050/(1x207)

LCM = 57651187050/207

LCM = 278508150

Thus, we can understand that the LCM of 639,414,575,379 is 278508150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 639, 414, 575, 379

1. What is the LCM of 639, 414, 575, 379?

Answer: LCM of 639, 414, 575, 379 is 278508150.

2. How to calculate the LCM of 639, 414, 575, 379?

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 639, 414, 575, 379.

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}.