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LCM of 360, 242, 407, 595, 908

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


Find the LCM of 360, 242, 407, 595, 908 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 360, 242, 407, 595, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 360,242,407,595,908

Given numbers are 360,242,407,595,908

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

The LCM of 360,242,407,595,908 is 43537392360.

Find LCM of 360,242,407,595,908 with Prime Factorization


2 360, 242, 407, 595, 908
2 180, 121, 407, 595, 454
5 90, 121, 407, 595, 227
11 18, 121, 407, 119, 227
18, 11, 37, 119, 227

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

2 x 2 x 5 x 11 x 18 x 11 x 37 x 119 x 227 = 43537392360

Therefore, the lowest common multiple of 360,242,407,595,908 is 43537392360.

LCM Formula to Find Lowest Common Multiple of 360,242,407,595,908

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.

360 x 242 x 407 x 595 x 908 = 19156452638400

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

242 : 1, 2, 11, 22, 121, 242

407 : 1, 11, 37, 407

595 : 1, 5, 7, 17, 35, 85, 119, 595

908 : 1, 2, 4, 227, 454, 908

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,242,407,595,908, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

242:2x 11x 11

407:11x 37

595:5x 7x 17

908:2x 2x 227

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 5x 11 = 440

Therefore, the value for common factors is 440.

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 = 19156452638400/(1x440)

LCM = 19156452638400/440

LCM = 43537392360

Thus, we can understand that the LCM of 360,242,407,595,908 is 43537392360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 360, 242, 407, 595, 908

1. What is the LCM of 360, 242, 407, 595, 908?

Answer: LCM of 360, 242, 407, 595, 908 is 43537392360.

2. How to calculate the LCM of 360, 242, 407, 595, 908?

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 360, 242, 407, 595, 908.

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}.