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LCM of 876, 165, 725, 976, 756

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


Find the LCM of 876, 165, 725, 976, 756 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 876, 165, 725, 976, 756. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 876,165,725,976,756

Given numbers are 876,165,725,976,756

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

The LCM of 876,165,725,976,756 is 107390329200.

Find LCM of 876,165,725,976,756 with Prime Factorization


2 876, 165, 725, 976, 756
2 438, 165, 725, 488, 378
3 219, 165, 725, 244, 189
5 73, 55, 725, 244, 63
73, 11, 145, 244, 63

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

2 x 2 x 3 x 5 x 73 x 11 x 145 x 244 x 63 = 107390329200

Therefore, the lowest common multiple of 876,165,725,976,756 is 107390329200.

LCM Formula to Find Lowest Common Multiple of 876,165,725,976,756

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.

876 x 165 x 725 x 976 x 756 = 77321037024000

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.

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

165 : 1, 3, 5, 11, 15, 33, 55, 165

725 : 1, 5, 25, 29, 145, 725

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,165,725,976,756, is 1.

Now, the common factors can be found like this.

876:2x 2x 3x 73

165:3x 5x 11

725:5x 5x 29

976:2x 2x 2x 2x 61

756:2x 2x 3x 3x 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 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 77321037024000/(1x720)

LCM = 77321037024000/720

LCM = 107390329200

Thus, we can understand that the LCM of 876,165,725,976,756 is 107390329200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 876, 165, 725, 976, 756

1. What is the LCM of 876, 165, 725, 976, 756?

Answer: LCM of 876, 165, 725, 976, 756 is 107390329200.

2. How to calculate the LCM of 876, 165, 725, 976, 756?

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 876, 165, 725, 976, 756.

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}.