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LCM of 547, 161, 598, 634

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


Find the LCM of 547, 161, 598, 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 547, 161, 598, 634. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 547,161,598,634

Given numbers are 547,161,598,634

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

The LCM of 547,161,598,634 is 725848214.

Find LCM of 547,161,598,634 with Prime Factorization


2 547, 161, 598, 634
23 547, 161, 299, 317
547, 7, 13, 317

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

2 x 23 x 547 x 7 x 13 x 317 = 725848214

Therefore, the lowest common multiple of 547,161,598,634 is 725848214.

LCM Formula to Find Lowest Common Multiple of 547,161,598,634

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.

547 x 161 x 598 x 634 = 33389017844

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.

547 : 1, 547

161 : 1, 7, 23, 161

598 : 1, 2, 13, 23, 26, 46, 299, 598

634 : 1, 2, 317, 634

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,161,598,634, is 1.

Now, the common factors can be found like this.

547:547

161:7x 23

598:2x 13x 23

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 23 = 46

Therefore, the value for common factors is 46.

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 = 33389017844/(1x46)

LCM = 33389017844/46

LCM = 725848214

Thus, we can understand that the LCM of 547,161,598,634 is 725848214.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 547, 161, 598, 634

1. What is the LCM of 547, 161, 598, 634?

Answer: LCM of 547, 161, 598, 634 is 725848214.

2. How to calculate the LCM of 547, 161, 598, 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 547, 161, 598, 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}.