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LCM of 798, 468, 857, 824, 672

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


Find the LCM of 798, 468, 857, 824, 672 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 798, 468, 857, 824, 672. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 798,468,857,824,672

Given numbers are 798,468,857,824,672

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

The LCM of 798,468,857,824,672 is 43954720992.

Find LCM of 798,468,857,824,672 with Prime Factorization


2 798, 468, 857, 824, 672
2 399, 234, 857, 412, 336
2 399, 117, 857, 206, 168
3 399, 117, 857, 103, 84
7 133, 39, 857, 103, 28
19, 39, 857, 103, 4

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

2 x 2 x 2 x 3 x 7 x 19 x 39 x 857 x 103 x 4 = 43954720992

Therefore, the lowest common multiple of 798,468,857,824,672 is 43954720992.

LCM Formula to Find Lowest Common Multiple of 798,468,857,824,672

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.

798 x 468 x 857 x 824 x 672 = 177225435039744

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

857 : 1, 857

824 : 1, 2, 4, 8, 103, 206, 412, 824

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,468,857,824,672, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

468:2x 2x 3x 3x 13

857:857

824:2x 2x 2x 103

672:2x 2x 2x 2x 2x 3x 7

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

2x 2x 2x 2x 2x 2x 3x 3x 7 = 4032

Therefore, the value for common factors is 4032.

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 = 177225435039744/(1x4032)

LCM = 177225435039744/4032

LCM = 43954720992

Thus, we can understand that the LCM of 798,468,857,824,672 is 43954720992.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 798, 468, 857, 824, 672

1. What is the LCM of 798, 468, 857, 824, 672?

Answer: LCM of 798, 468, 857, 824, 672 is 43954720992.

2. How to calculate the LCM of 798, 468, 857, 824, 672?

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 798, 468, 857, 824, 672.

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}.