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LCM of 749, 217, 680, 567, 996

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


Find the LCM of 749, 217, 680, 567, 996 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 749, 217, 680, 567, 996. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 749,217,680,567,996

Given numbers are 749,217,680,567,996

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

The LCM of 749,217,680,567,996 is 106148909160.

Find LCM of 749,217,680,567,996 with Prime Factorization


2 749, 217, 680, 567, 996
2 749, 217, 340, 567, 498
3 749, 217, 170, 567, 249
7 749, 217, 170, 189, 83
107, 31, 170, 27, 83

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

2 x 2 x 3 x 7 x 107 x 31 x 170 x 27 x 83 = 106148909160

Therefore, the lowest common multiple of 749,217,680,567,996 is 106148909160.

LCM Formula to Find Lowest Common Multiple of 749,217,680,567,996

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.

749 x 217 x 680 x 567 x 996 = 62415558586080

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.

749 : 1, 7, 107, 749

217 : 1, 7, 31, 217

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,217,680,567,996, is 1.

Now, the common factors can be found like this.

749:7x 107

217:7x 31

680:2x 2x 2x 5x 17

567:3x 3x 3x 3x 7

996:2x 2x 3x 83

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 3x 7x 7 = 588

Therefore, the value for common factors is 588.

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 = 62415558586080/(1x588)

LCM = 62415558586080/588

LCM = 106148909160

Thus, we can understand that the LCM of 749,217,680,567,996 is 106148909160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 749, 217, 680, 567, 996

1. What is the LCM of 749, 217, 680, 567, 996?

Answer: LCM of 749, 217, 680, 567, 996 is 106148909160.

2. How to calculate the LCM of 749, 217, 680, 567, 996?

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 749, 217, 680, 567, 996.

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}.