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LCM of 635, 321, 510, 927, 906

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


Find the LCM of 635, 321, 510, 927, 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 635, 321, 510, 927, 906. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 635,321,510,927,906

Given numbers are 635,321,510,927,906

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

The LCM of 635,321,510,927,906 is 323365067010.

Find LCM of 635,321,510,927,906 with Prime Factorization


2 635, 321, 510, 927, 906
3 635, 321, 255, 927, 453
5 635, 107, 85, 309, 151
127, 107, 17, 309, 151

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

2 x 3 x 5 x 127 x 107 x 17 x 309 x 151 = 323365067010

Therefore, the lowest common multiple of 635,321,510,927,906 is 323365067010.

LCM Formula to Find Lowest Common Multiple of 635,321,510,927,906

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.

635 x 321 x 510 x 927 x 906 = 87308568092700

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.

635 : 1, 5, 127, 635

321 : 1, 3, 107, 321

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

927 : 1, 3, 9, 103, 309, 927

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 635,321,510,927,906, is 1.

Now, the common factors can be found like this.

635:5x 127

321:3x 107

510:2x 3x 5x 17

927:3x 3x 103

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 3x 3x 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 87308568092700/(1x270)

LCM = 87308568092700/270

LCM = 323365067010

Thus, we can understand that the LCM of 635,321,510,927,906 is 323365067010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 635, 321, 510, 927, 906

1. What is the LCM of 635, 321, 510, 927, 906?

Answer: LCM of 635, 321, 510, 927, 906 is 323365067010.

2. How to calculate the LCM of 635, 321, 510, 927, 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 635, 321, 510, 927, 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}.