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LCM of 507, 980, 473, 912, 652

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


Find the LCM of 507, 980, 473, 912, 652 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 507, 980, 473, 912, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 507,980,473,912,652

Given numbers are 507,980,473,912,652

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

The LCM of 507,980,473,912,652 is 2911363094640.

Find LCM of 507,980,473,912,652 with Prime Factorization


2 507, 980, 473, 912, 652
2 507, 490, 473, 456, 326
3 507, 245, 473, 228, 163
169, 245, 473, 76, 163

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

2 x 2 x 3 x 169 x 245 x 473 x 76 x 163 = 2911363094640

Therefore, the lowest common multiple of 507,980,473,912,652 is 2911363094640.

LCM Formula to Find Lowest Common Multiple of 507,980,473,912,652

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.

507 x 980 x 473 x 912 x 652 = 139745428542720

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.

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

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

473 : 1, 11, 43, 473

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,980,473,912,652, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

980:2x 2x 5x 7x 7

473:11x 43

912:2x 2x 2x 2x 3x 19

652:2x 2x 163

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 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 139745428542720/(1x48)

LCM = 139745428542720/48

LCM = 2911363094640

Thus, we can understand that the LCM of 507,980,473,912,652 is 2911363094640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 507, 980, 473, 912, 652

1. What is the LCM of 507, 980, 473, 912, 652?

Answer: LCM of 507, 980, 473, 912, 652 is 2911363094640.

2. How to calculate the LCM of 507, 980, 473, 912, 652?

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 507, 980, 473, 912, 652.

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}.