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LCM of 957, 114, 698, 940, 522

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


Find the LCM of 957, 114, 698, 940, 522 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 957, 114, 698, 940, 522. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,114,698,940,522

Given numbers are 957,114,698,940,522

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

The LCM of 957,114,698,940,522 is 17895344940.

Find LCM of 957,114,698,940,522 with Prime Factorization


2 957, 114, 698, 940, 522
3 957, 57, 349, 470, 261
29 319, 19, 349, 470, 87
11, 19, 349, 470, 3

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

2 x 3 x 29 x 11 x 19 x 349 x 470 x 3 = 17895344940

Therefore, the lowest common multiple of 957,114,698,940,522 is 17895344940.

LCM Formula to Find Lowest Common Multiple of 957,114,698,940,522

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.

957 x 114 x 698 x 940 x 522 = 37365480234720

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.

957 : 1, 3, 11, 29, 33, 87, 319, 957

114 : 1, 2, 3, 6, 19, 38, 57, 114

698 : 1, 2, 349, 698

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,114,698,940,522, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

114:2x 3x 19

698:2x 349

940:2x 2x 5x 47

522:2x 3x 3x 29

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 3x 29 = 2088

Therefore, the value for common factors is 2088.

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 = 37365480234720/(1x2088)

LCM = 37365480234720/2088

LCM = 17895344940

Thus, we can understand that the LCM of 957,114,698,940,522 is 17895344940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 114, 698, 940, 522

1. What is the LCM of 957, 114, 698, 940, 522?

Answer: LCM of 957, 114, 698, 940, 522 is 17895344940.

2. How to calculate the LCM of 957, 114, 698, 940, 522?

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 957, 114, 698, 940, 522.

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}.