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LCM of 851, 470, 187, 531, 507

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


Find the LCM of 851, 470, 187, 531, 507 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 851, 470, 187, 531, 507. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 851,470,187,531,507

Given numbers are 851,470,187,531,507

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

The LCM of 851,470,187,531,507 is 6711973764210.

Find LCM of 851,470,187,531,507 with Prime Factorization


3 851, 470, 187, 531, 507
851, 470, 187, 177, 169

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

3 x 851 x 470 x 187 x 177 x 169 = 6711973764210

Therefore, the lowest common multiple of 851,470,187,531,507 is 6711973764210.

LCM Formula to Find Lowest Common Multiple of 851,470,187,531,507

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.

851 x 470 x 187 x 531 x 507 = 20135921292630

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.

851 : 1, 23, 37, 851

470 : 1, 2, 5, 10, 47, 94, 235, 470

187 : 1, 11, 17, 187

531 : 1, 3, 9, 59, 177, 531

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,470,187,531,507, is 1.

Now, the common factors can be found like this.

851:23x 37

470:2x 5x 47

187:11x 17

531:3x 3x 59

507:3x 13x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 20135921292630/(1x3)

LCM = 20135921292630/3

LCM = 6711973764210

Thus, we can understand that the LCM of 851,470,187,531,507 is 6711973764210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 851, 470, 187, 531, 507

1. What is the LCM of 851, 470, 187, 531, 507?

Answer: LCM of 851, 470, 187, 531, 507 is 6711973764210.

2. How to calculate the LCM of 851, 470, 187, 531, 507?

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 851, 470, 187, 531, 507.

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}.