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LCM of 910, 566, 156, 615, 990

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


Find the LCM of 910, 566, 156, 615, 990 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 910, 566, 156, 615, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,566,156,615,990

Given numbers are 910,566,156,615,990

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

The LCM of 910,566,156,615,990 is 2090628540.

Find LCM of 910,566,156,615,990 with Prime Factorization


2 910, 566, 156, 615, 990
3 455, 283, 78, 615, 495
5 455, 283, 26, 205, 165
13 91, 283, 26, 41, 33
7, 283, 2, 41, 33

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

2 x 3 x 5 x 13 x 7 x 283 x 2 x 41 x 33 = 2090628540

Therefore, the lowest common multiple of 910,566,156,615,990 is 2090628540.

LCM Formula to Find Lowest Common Multiple of 910,566,156,615,990

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.

910 x 566 x 156 x 615 x 990 = 48920707836000

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

566 : 1, 2, 283, 566

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,566,156,615,990, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

566:2x 283

156:2x 2x 3x 13

615:3x 5x 41

990:2x 3x 3x 5x 11

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 5x 13 = 23400

Therefore, the value for common factors is 23400.

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 = 48920707836000/(1x23400)

LCM = 48920707836000/23400

LCM = 2090628540

Thus, we can understand that the LCM of 910,566,156,615,990 is 2090628540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 566, 156, 615, 990

1. What is the LCM of 910, 566, 156, 615, 990?

Answer: LCM of 910, 566, 156, 615, 990 is 2090628540.

2. How to calculate the LCM of 910, 566, 156, 615, 990?

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 910, 566, 156, 615, 990.

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}.