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LCM of 955, 495, 764, 726, 832

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


Find the LCM of 955, 495, 764, 726, 832 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 955, 495, 764, 726, 832. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 955,495,764,726,832

Given numbers are 955,495,764,726,832

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

The LCM of 955,495,764,726,832 is 865275840.

Find LCM of 955,495,764,726,832 with Prime Factorization


2 955, 495, 764, 726, 832
2 955, 495, 382, 363, 416
3 955, 495, 191, 363, 208
5 955, 165, 191, 121, 208
11 191, 33, 191, 121, 208
191 191, 3, 191, 11, 208
1, 3, 1, 11, 208

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

2 x 2 x 3 x 5 x 11 x 191 x 1 x 3 x 1 x 11 x 208 = 865275840

Therefore, the lowest common multiple of 955,495,764,726,832 is 865275840.

LCM Formula to Find Lowest Common Multiple of 955,495,764,726,832

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.

955 x 495 x 764 x 726 x 832 = 218153344780800

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.

955 : 1, 5, 191, 955

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

764 : 1, 2, 4, 191, 382, 764

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,495,764,726,832, is 1.

Now, the common factors can be found like this.

955:5x 191

495:3x 3x 5x 11

764:2x 2x 191

726:2x 3x 11x 11

832:2x 2x 2x 2x 2x 2x 13

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 11x 191 = 252120

Therefore, the value for common factors is 252120.

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 = 218153344780800/(1x252120)

LCM = 218153344780800/252120

LCM = 865275840

Thus, we can understand that the LCM of 955,495,764,726,832 is 865275840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 955, 495, 764, 726, 832

1. What is the LCM of 955, 495, 764, 726, 832?

Answer: LCM of 955, 495, 764, 726, 832 is 865275840.

2. How to calculate the LCM of 955, 495, 764, 726, 832?

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 955, 495, 764, 726, 832.

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}.