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LCM of 797, 385, 851, 689, 610

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


Find the LCM of 797, 385, 851, 689, 610 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 797, 385, 851, 689, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,385,851,689,610

Given numbers are 797,385,851,689,610

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

The LCM of 797,385,851,689,610 is 21949653235510.

Find LCM of 797,385,851,689,610 with Prime Factorization


5 797, 385, 851, 689, 610
797, 77, 851, 689, 122

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

5 x 797 x 77 x 851 x 689 x 122 = 21949653235510

Therefore, the lowest common multiple of 797,385,851,689,610 is 21949653235510.

LCM Formula to Find Lowest Common Multiple of 797,385,851,689,610

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.

797 x 385 x 851 x 689 x 610 = 109748266177550

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.

797 : 1, 797

385 : 1, 5, 7, 11, 35, 55, 77, 385

851 : 1, 23, 37, 851

689 : 1, 13, 53, 689

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,385,851,689,610, is 1.

Now, the common factors can be found like this.

797:797

385:5x 7x 11

851:23x 37

689:13x 53

610:2x 5x 61

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

5 = 5

Therefore, the value for common factors is 5.

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 = 109748266177550/(1x5)

LCM = 109748266177550/5

LCM = 21949653235510

Thus, we can understand that the LCM of 797,385,851,689,610 is 21949653235510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 385, 851, 689, 610

1. What is the LCM of 797, 385, 851, 689, 610?

Answer: LCM of 797, 385, 851, 689, 610 is 21949653235510.

2. How to calculate the LCM of 797, 385, 851, 689, 610?

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 797, 385, 851, 689, 610.

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}.