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LCM of 918, 908, 918, 337, 908

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


Find the LCM of 918, 908, 918, 337, 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 918, 908, 918, 337, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 918,908,918,337,908

Given numbers are 918,908,918,337,908

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

The LCM of 918,908,918,337,908 is 140452164.

Find LCM of 918,908,918,337,908 with Prime Factorization


2 918, 908, 918, 337, 908
2 459, 454, 459, 337, 454
3 459, 227, 459, 337, 227
3 153, 227, 153, 337, 227
3 51, 227, 51, 337, 227
17 17, 227, 17, 337, 227
227 1, 227, 1, 337, 227
1, 1, 1, 337, 1

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

2 x 2 x 3 x 3 x 3 x 17 x 227 x 1 x 1 x 1 x 337 x 1 = 140452164

Therefore, the lowest common multiple of 918,908,918,337,908 is 140452164.

LCM Formula to Find Lowest Common Multiple of 918,908,918,337,908

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.

918 x 908 x 918 x 337 x 908 = 234146117178432

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.

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

337 : 1, 337

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 918,908,918,337,908, is 1.

Now, the common factors can be found like this.

918:2x 3x 3x 3x 17

908:2x 2x 227

918:2x 3x 3x 3x 17

337:337

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 2x 3x 3x 3x 17x 227 = 1667088

Therefore, the value for common factors is 1667088.

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 = 234146117178432/(1x1667088)

LCM = 234146117178432/1667088

LCM = 140452164

Thus, we can understand that the LCM of 918,908,918,337,908 is 140452164.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 918, 908, 918, 337, 908

1. What is the LCM of 918, 908, 918, 337, 908?

Answer: LCM of 918, 908, 918, 337, 908 is 140452164.

2. How to calculate the LCM of 918, 908, 918, 337, 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 918, 908, 918, 337, 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}.