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LCM of 40, 988, 646

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


Find the LCM of 40, 988, 646 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 40, 988, 646. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 40,988,646

Given numbers are 40,988,646

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

The LCM of 40,988,646 is 167960.

Find LCM of 40,988,646 with Prime Factorization


2 40, 988, 646
2 20, 494, 323
19 10, 247, 323
10, 13, 17

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

2 x 2 x 19 x 10 x 13 x 17 = 167960

Therefore, the lowest common multiple of 40,988,646 is 167960.

LCM Formula to Find Lowest Common Multiple of 40,988,646

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.

40 x 988 x 646 = 25529920

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.

40 : 1, 2, 4, 5, 8, 10, 20, 40

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 40,988,646, is 2.

Now, the common factors can be found like this.

40:2x 2x 2x 5

988:2x 2x 13x 19

646:2x 17x 19

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 19 = 76

Therefore, the value for common factors is 76.

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 = 25529920/(2x76)

LCM = 25529920/152

LCM = 167960

Thus, we can understand that the LCM of 40,988,646 is 167960.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 40, 988, 646

1. What is the LCM of 40, 988, 646?

Answer: LCM of 40, 988, 646 is 167960.

2. How to calculate the LCM of 40, 988, 646?

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 40, 988, 646.

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}.