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LCM of 615, 574, 996, 637, 960

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


Find the LCM of 615, 574, 996, 637, 960 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 615, 574, 996, 637, 960. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 615,574,996,637,960

Given numbers are 615,574,996,637,960

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

The LCM of 615,574,996,637,960 is 2081002560.

Find LCM of 615,574,996,637,960 with Prime Factorization


2 615, 574, 996, 637, 960
2 615, 287, 498, 637, 480
3 615, 287, 249, 637, 240
5 205, 287, 83, 637, 80
7 41, 287, 83, 637, 16
41 41, 41, 83, 91, 16
1, 1, 83, 91, 16

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

2 x 2 x 3 x 5 x 7 x 41 x 1 x 1 x 83 x 91 x 16 = 2081002560

Therefore, the lowest common multiple of 615,574,996,637,960 is 2081002560.

LCM Formula to Find Lowest Common Multiple of 615,574,996,637,960

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.

615 x 574 x 996 x 637 x 960 = 215009184499200

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.

615 : 1, 3, 5, 15, 41, 123, 205, 615

574 : 1, 2, 7, 14, 41, 82, 287, 574

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

637 : 1, 7, 13, 49, 91, 637

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,574,996,637,960, is 1.

Now, the common factors can be found like this.

615:3x 5x 41

574:2x 7x 41

996:2x 2x 3x 83

637:7x 7x 13

960:2x 2x 2x 2x 2x 2x 3x 5

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 5x 7x 41 = 103320

Therefore, the value for common factors is 103320.

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 = 215009184499200/(1x103320)

LCM = 215009184499200/103320

LCM = 2081002560

Thus, we can understand that the LCM of 615,574,996,637,960 is 2081002560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 615, 574, 996, 637, 960

1. What is the LCM of 615, 574, 996, 637, 960?

Answer: LCM of 615, 574, 996, 637, 960 is 2081002560.

2. How to calculate the LCM of 615, 574, 996, 637, 960?

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 615, 574, 996, 637, 960.

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}.