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LCM of 836, 275, 607, 996, 930

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


Find the LCM of 836, 275, 607, 996, 930 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 836, 275, 607, 996, 930. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 836,275,607,996,930

Given numbers are 836,275,607,996,930

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

The LCM of 836,275,607,996,930 is 97925549700.

Find LCM of 836,275,607,996,930 with Prime Factorization


2 836, 275, 607, 996, 930
2 418, 275, 607, 498, 465
3 209, 275, 607, 249, 465
5 209, 275, 607, 83, 155
11 209, 55, 607, 83, 31
19, 5, 607, 83, 31

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

2 x 2 x 3 x 5 x 11 x 19 x 5 x 607 x 83 x 31 = 97925549700

Therefore, the lowest common multiple of 836,275,607,996,930 is 97925549700.

LCM Formula to Find Lowest Common Multiple of 836,275,607,996,930

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.

836 x 275 x 607 x 996 x 930 = 129261725604000

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.

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

275 : 1, 5, 11, 25, 55, 275

607 : 1, 607

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,275,607,996,930, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

275:5x 5x 11

607:607

996:2x 2x 3x 83

930:2x 3x 5x 31

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 3x 5x 11 = 1320

Therefore, the value for common factors is 1320.

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 = 129261725604000/(1x1320)

LCM = 129261725604000/1320

LCM = 97925549700

Thus, we can understand that the LCM of 836,275,607,996,930 is 97925549700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 836, 275, 607, 996, 930

1. What is the LCM of 836, 275, 607, 996, 930?

Answer: LCM of 836, 275, 607, 996, 930 is 97925549700.

2. How to calculate the LCM of 836, 275, 607, 996, 930?

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 836, 275, 607, 996, 930.

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}.