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LCM of 801, 398, 297, 851, 703

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


Find the LCM of 801, 398, 297, 851, 703 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 801, 398, 297, 851, 703. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 801,398,297,851,703

Given numbers are 801,398,297,851,703

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

The LCM of 801,398,297,851,703 is 170103280446.

Find LCM of 801,398,297,851,703 with Prime Factorization


3 801, 398, 297, 851, 703
3 267, 398, 99, 851, 703
37 89, 398, 33, 851, 703
89, 398, 33, 23, 19

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

3 x 3 x 37 x 89 x 398 x 33 x 23 x 19 = 170103280446

Therefore, the lowest common multiple of 801,398,297,851,703 is 170103280446.

LCM Formula to Find Lowest Common Multiple of 801,398,297,851,703

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.

801 x 398 x 297 x 851 x 703 = 56644392388518

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.

801 : 1, 3, 9, 89, 267, 801

398 : 1, 2, 199, 398

297 : 1, 3, 9, 11, 27, 33, 99, 297

851 : 1, 23, 37, 851

703 : 1, 19, 37, 703

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,398,297,851,703, is 1.

Now, the common factors can be found like this.

801:3x 3x 89

398:2x 199

297:3x 3x 3x 11

851:23x 37

703:19x 37

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 37 = 333

Therefore, the value for common factors is 333.

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 = 56644392388518/(1x333)

LCM = 56644392388518/333

LCM = 170103280446

Thus, we can understand that the LCM of 801,398,297,851,703 is 170103280446.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 801, 398, 297, 851, 703

1. What is the LCM of 801, 398, 297, 851, 703?

Answer: LCM of 801, 398, 297, 851, 703 is 170103280446.

2. How to calculate the LCM of 801, 398, 297, 851, 703?

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 801, 398, 297, 851, 703.

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}.