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LCM of 634, 919, 177, 495, 726

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


Find the LCM of 634, 919, 177, 495, 726 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 634, 919, 177, 495, 726. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 634,919,177,495,726

Given numbers are 634,919,177,495,726

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

The LCM of 634,919,177,495,726 is 187177940730.

Find LCM of 634,919,177,495,726 with Prime Factorization


2 634, 919, 177, 495, 726
3 317, 919, 177, 495, 363
11 317, 919, 59, 165, 121
317, 919, 59, 15, 11

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

2 x 3 x 11 x 317 x 919 x 59 x 15 x 11 = 187177940730

Therefore, the lowest common multiple of 634,919,177,495,726 is 187177940730.

LCM Formula to Find Lowest Common Multiple of 634,919,177,495,726

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.

634 x 919 x 177 x 495 x 726 = 37061232264540

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.

634 : 1, 2, 317, 634

919 : 1, 919

177 : 1, 3, 59, 177

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,919,177,495,726, is 1.

Now, the common factors can be found like this.

634:2x 317

919:919

177:3x 59

495:3x 3x 5x 11

726:2x 3x 11x 11

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 = 37061232264540/(1x198)

LCM = 37061232264540/198

LCM = 187177940730

Thus, we can understand that the LCM of 634,919,177,495,726 is 187177940730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 634, 919, 177, 495, 726

1. What is the LCM of 634, 919, 177, 495, 726?

Answer: LCM of 634, 919, 177, 495, 726 is 187177940730.

2. How to calculate the LCM of 634, 919, 177, 495, 726?

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 634, 919, 177, 495, 726.

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}.