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LCM of 207, 906, 291, 393, 755

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


Find the LCM of 207, 906, 291, 393, 755 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 207, 906, 291, 393, 755. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 207,906,291,393,755

Given numbers are 207,906,291,393,755

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

The LCM of 207,906,291,393,755 is 3971826990.

Find LCM of 207,906,291,393,755 with Prime Factorization


3 207, 906, 291, 393, 755
151 69, 302, 97, 131, 755
69, 2, 97, 131, 5

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

3 x 151 x 69 x 2 x 97 x 131 x 5 = 3971826990

Therefore, the lowest common multiple of 207,906,291,393,755 is 3971826990.

LCM Formula to Find Lowest Common Multiple of 207,906,291,393,755

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.

207 x 906 x 291 x 393 x 755 = 16193138638230

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.

207 : 1, 3, 9, 23, 69, 207

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

291 : 1, 3, 97, 291

393 : 1, 3, 131, 393

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,906,291,393,755, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

906:2x 3x 151

291:3x 97

393:3x 131

755:5x 151

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

3x 3x 3x 151 = 4077

Therefore, the value for common factors is 4077.

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 = 16193138638230/(1x4077)

LCM = 16193138638230/4077

LCM = 3971826990

Thus, we can understand that the LCM of 207,906,291,393,755 is 3971826990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 207, 906, 291, 393, 755

1. What is the LCM of 207, 906, 291, 393, 755?

Answer: LCM of 207, 906, 291, 393, 755 is 3971826990.

2. How to calculate the LCM of 207, 906, 291, 393, 755?

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 207, 906, 291, 393, 755.

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}.