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LCM of 807, 870, 696, 615

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


Find the LCM of 807, 870, 696, 615 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 807, 870, 696, 615. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 807,870,696,615

Given numbers are 807,870,696,615

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

The LCM of 807,870,696,615 is 38380920.

Find LCM of 807,870,696,615 with Prime Factorization


2 807, 870, 696, 615
3 807, 435, 348, 615
5 269, 145, 116, 205
29 269, 29, 116, 41
269, 1, 4, 41

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

2 x 3 x 5 x 29 x 269 x 1 x 4 x 41 = 38380920

Therefore, the lowest common multiple of 807,870,696,615 is 38380920.

LCM Formula to Find Lowest Common Multiple of 807,870,696,615

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.

807 x 870 x 696 x 615 = 300522603600

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.

807 : 1, 3, 269, 807

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,870,696,615, is 3.

Now, the common factors can be found like this.

807:3x 269

870:2x 3x 5x 29

696:2x 2x 2x 3x 29

615:3x 5x 41

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 3x 5x 29 = 2610

Therefore, the value for common factors is 2610.

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 = 300522603600/(3x2610)

LCM = 300522603600/7830

LCM = 38380920

Thus, we can understand that the LCM of 807,870,696,615 is 38380920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 807, 870, 696, 615

1. What is the LCM of 807, 870, 696, 615?

Answer: LCM of 807, 870, 696, 615 is 38380920.

2. How to calculate the LCM of 807, 870, 696, 615?

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 807, 870, 696, 615.

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}.