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LCM of 658, 310, 375, 231, 906

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


Find the LCM of 658, 310, 375, 231, 906 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 658, 310, 375, 231, 906. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 658,310,375,231,906

Given numbers are 658,310,375,231,906

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

The LCM of 658,310,375,231,906 is 12705404250.

Find LCM of 658,310,375,231,906 with Prime Factorization


2 658, 310, 375, 231, 906
3 329, 155, 375, 231, 453
5 329, 155, 125, 77, 151
7 329, 31, 25, 77, 151
47, 31, 25, 11, 151

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

2 x 3 x 5 x 7 x 47 x 31 x 25 x 11 x 151 = 12705404250

Therefore, the lowest common multiple of 658,310,375,231,906 is 12705404250.

LCM Formula to Find Lowest Common Multiple of 658,310,375,231,906

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.

658 x 310 x 375 x 231 x 906 = 16008809355000

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.

658 : 1, 2, 7, 14, 47, 94, 329, 658

310 : 1, 2, 5, 10, 31, 62, 155, 310

375 : 1, 3, 5, 15, 25, 75, 125, 375

231 : 1, 3, 7, 11, 21, 33, 77, 231

906 : 1, 2, 3, 6, 151, 302, 453, 906

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,310,375,231,906, is 1.

Now, the common factors can be found like this.

658:2x 7x 47

310:2x 5x 31

375:3x 5x 5x 5

231:3x 7x 11

906:2x 3x 151

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 3x 3x 5x 7 = 1260

Therefore, the value for common factors is 1260.

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 = 16008809355000/(1x1260)

LCM = 16008809355000/1260

LCM = 12705404250

Thus, we can understand that the LCM of 658,310,375,231,906 is 12705404250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 658, 310, 375, 231, 906

1. What is the LCM of 658, 310, 375, 231, 906?

Answer: LCM of 658, 310, 375, 231, 906 is 12705404250.

2. How to calculate the LCM of 658, 310, 375, 231, 906?

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 658, 310, 375, 231, 906.

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}.