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LCM of 343, 317, 554, 634

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


Find the LCM of 343, 317, 554, 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 343, 317, 554, 634. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,317,554,634

Given numbers are 343,317,554,634

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

The LCM of 343,317,554,634 is 60236974.

Find LCM of 343,317,554,634 with Prime Factorization


2 343, 317, 554, 634
317 343, 317, 277, 317
343, 1, 277, 1

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

2 x 317 x 343 x 1 x 277 x 1 = 60236974

Therefore, the lowest common multiple of 343,317,554,634 is 60236974.

LCM Formula to Find Lowest Common Multiple of 343,317,554,634

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.

343 x 317 x 554 x 634 = 38190241516

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.

343 : 1, 7, 49, 343

317 : 1, 317

554 : 1, 2, 277, 554

634 : 1, 2, 317, 634

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,317,554,634, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

317:317

554:2x 277

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 317 = 634

Therefore, the value for common factors is 634.

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 = 38190241516/(1x634)

LCM = 38190241516/634

LCM = 60236974

Thus, we can understand that the LCM of 343,317,554,634 is 60236974.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 343, 317, 554, 634

1. What is the LCM of 343, 317, 554, 634?

Answer: LCM of 343, 317, 554, 634 is 60236974.

2. How to calculate the LCM of 343, 317, 554, 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 343, 317, 554, 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}.