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LCM of 932, 664, 988, 818, 715

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


Find the LCM of 932, 664, 988, 818, 715 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 932, 664, 988, 818, 715. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 932,664,988,818,715

Given numbers are 932,664,988,818,715

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

The LCM of 932,664,988,818,715 is 859620870680.

Find LCM of 932,664,988,818,715 with Prime Factorization


2 932, 664, 988, 818, 715
2 466, 332, 494, 409, 715
13 233, 166, 247, 409, 715
233, 166, 19, 409, 55

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

2 x 2 x 13 x 233 x 166 x 19 x 409 x 55 = 859620870680

Therefore, the lowest common multiple of 932,664,988,818,715 is 859620870680.

LCM Formula to Find Lowest Common Multiple of 932,664,988,818,715

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.

932 x 664 x 988 x 818 x 715 = 357602282202880

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.

932 : 1, 2, 4, 233, 466, 932

664 : 1, 2, 4, 8, 83, 166, 332, 664

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

818 : 1, 2, 409, 818

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,664,988,818,715, is 1.

Now, the common factors can be found like this.

932:2x 2x 233

664:2x 2x 2x 83

988:2x 2x 13x 19

818:2x 409

715:5x 11x 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 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 357602282202880/(1x416)

LCM = 357602282202880/416

LCM = 859620870680

Thus, we can understand that the LCM of 932,664,988,818,715 is 859620870680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 932, 664, 988, 818, 715

1. What is the LCM of 932, 664, 988, 818, 715?

Answer: LCM of 932, 664, 988, 818, 715 is 859620870680.

2. How to calculate the LCM of 932, 664, 988, 818, 715?

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 932, 664, 988, 818, 715.

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}.