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LCM of 810, 386, 532, 752, 679

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


Find the LCM of 810, 386, 532, 752, 679 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 810, 386, 532, 752, 679. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 810,386,532,752,679

Given numbers are 810,386,532,752,679

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

The LCM of 810,386,532,752,679 is 758321812080.

Find LCM of 810,386,532,752,679 with Prime Factorization


2 810, 386, 532, 752, 679
2 405, 193, 266, 376, 679
7 405, 193, 133, 188, 679
405, 193, 19, 188, 97

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

2 x 2 x 7 x 405 x 193 x 19 x 188 x 97 = 758321812080

Therefore, the lowest common multiple of 810,386,532,752,679 is 758321812080.

LCM Formula to Find Lowest Common Multiple of 810,386,532,752,679

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.

810 x 386 x 532 x 752 x 679 = 84932042952960

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

386 : 1, 2, 193, 386

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,386,532,752,679, is 1.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

386:2x 193

532:2x 2x 7x 19

752:2x 2x 2x 2x 47

679:7x 97

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 7 = 112

Therefore, the value for common factors is 112.

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 = 84932042952960/(1x112)

LCM = 84932042952960/112

LCM = 758321812080

Thus, we can understand that the LCM of 810,386,532,752,679 is 758321812080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 810, 386, 532, 752, 679

1. What is the LCM of 810, 386, 532, 752, 679?

Answer: LCM of 810, 386, 532, 752, 679 is 758321812080.

2. How to calculate the LCM of 810, 386, 532, 752, 679?

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 810, 386, 532, 752, 679.

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}.