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LCM of 917, 489, 131, 302

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


Find the LCM of 917, 489, 131, 302 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 917, 489, 131, 302. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 917,489,131,302

Given numbers are 917,489,131,302

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

The LCM of 917,489,131,302 is 135420726.

Find LCM of 917,489,131,302 with Prime Factorization


131 917, 489, 131, 302
7, 489, 1, 302

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

131 x 7 x 489 x 1 x 302 = 135420726

Therefore, the lowest common multiple of 917,489,131,302 is 135420726.

LCM Formula to Find Lowest Common Multiple of 917,489,131,302

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.

917 x 489 x 131 x 302 = 17740115106

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.

917 : 1, 7, 131, 917

489 : 1, 3, 163, 489

131 : 1, 131

302 : 1, 2, 151, 302

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,489,131,302, is 1.

Now, the common factors can be found like this.

917:7x 131

489:3x 163

131:131

302:2x 151

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

131 = 131

Therefore, the value for common factors is 131.

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 = 17740115106/(1x131)

LCM = 17740115106/131

LCM = 135420726

Thus, we can understand that the LCM of 917,489,131,302 is 135420726.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 917, 489, 131, 302

1. What is the LCM of 917, 489, 131, 302?

Answer: LCM of 917, 489, 131, 302 is 135420726.

2. How to calculate the LCM of 917, 489, 131, 302?

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 917, 489, 131, 302.

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}.