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LCM of 908, 312, 160, 189

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


Find the LCM of 908, 312, 160, 189 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 908, 312, 160, 189. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 908,312,160,189

Given numbers are 908,312,160,189

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

The LCM of 908,312,160,189 is 89238240.

Find LCM of 908,312,160,189 with Prime Factorization


2 908, 312, 160, 189
2 454, 156, 80, 189
2 227, 78, 40, 189
3 227, 39, 20, 189
227, 13, 20, 63

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

2 x 2 x 2 x 3 x 227 x 13 x 20 x 63 = 89238240

Therefore, the lowest common multiple of 908,312,160,189 is 89238240.

LCM Formula to Find Lowest Common Multiple of 908,312,160,189

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.

908 x 312 x 160 x 189 = 8566871040

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.

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,312,160,189, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

312:2x 2x 2x 3x 13

160:2x 2x 2x 2x 2x 5

189:3x 3x 3x 7

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 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 8566871040/(1x96)

LCM = 8566871040/96

LCM = 89238240

Thus, we can understand that the LCM of 908,312,160,189 is 89238240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 908, 312, 160, 189

1. What is the LCM of 908, 312, 160, 189?

Answer: LCM of 908, 312, 160, 189 is 89238240.

2. How to calculate the LCM of 908, 312, 160, 189?

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 908, 312, 160, 189.

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}.