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LCM of 932, 977, 845, 645, 774

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


Find the LCM of 932, 977, 845, 645, 774 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, 977, 845, 645, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 932,977,845,645,774

Given numbers are 932,977,845,645,774

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

The LCM of 932,977,845,645,774 is 297768086460.

Find LCM of 932,977,845,645,774 with Prime Factorization


2 932, 977, 845, 645, 774
3 466, 977, 845, 645, 387
5 466, 977, 845, 215, 129
43 466, 977, 169, 43, 129
466, 977, 169, 1, 3

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

2 x 3 x 5 x 43 x 466 x 977 x 169 x 1 x 3 = 297768086460

Therefore, the lowest common multiple of 932,977,845,645,774 is 297768086460.

LCM Formula to Find Lowest Common Multiple of 932,977,845,645,774

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 977 x 845 x 645 x 774 = 384120831533400

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

977 : 1, 977

845 : 1, 5, 13, 65, 169, 845

645 : 1, 3, 5, 15, 43, 129, 215, 645

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,977,845,645,774, is 1.

Now, the common factors can be found like this.

932:2x 2x 233

977:977

845:5x 13x 13

645:3x 5x 43

774:2x 3x 3x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 5x 43 = 1290

Therefore, the value for common factors is 1290.

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 = 384120831533400/(1x1290)

LCM = 384120831533400/1290

LCM = 297768086460

Thus, we can understand that the LCM of 932,977,845,645,774 is 297768086460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 932, 977, 845, 645, 774

1. What is the LCM of 932, 977, 845, 645, 774?

Answer: LCM of 932, 977, 845, 645, 774 is 297768086460.

2. How to calculate the LCM of 932, 977, 845, 645, 774?

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, 977, 845, 645, 774.

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}.