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LCM of 529, 868, 460, 272

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


Find the LCM of 529, 868, 460, 272 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 529, 868, 460, 272. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 529,868,460,272

Given numbers are 529,868,460,272

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

The LCM of 529,868,460,272 is 156118480.

Find LCM of 529,868,460,272 with Prime Factorization


2 529, 868, 460, 272
2 529, 434, 230, 136
23 529, 217, 115, 68
23, 217, 5, 68

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

2 x 2 x 23 x 23 x 217 x 5 x 68 = 156118480

Therefore, the lowest common multiple of 529,868,460,272 is 156118480.

LCM Formula to Find Lowest Common Multiple of 529,868,460,272

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.

529 x 868 x 460 x 272 = 57451600640

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.

529 : 1, 23, 529

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,868,460,272, is 1.

Now, the common factors can be found like this.

529:23x 23

868:2x 2x 7x 31

460:2x 2x 5x 23

272:2x 2x 2x 2x 17

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 23 = 368

Therefore, the value for common factors is 368.

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 = 57451600640/(1x368)

LCM = 57451600640/368

LCM = 156118480

Thus, we can understand that the LCM of 529,868,460,272 is 156118480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 529, 868, 460, 272

1. What is the LCM of 529, 868, 460, 272?

Answer: LCM of 529, 868, 460, 272 is 156118480.

2. How to calculate the LCM of 529, 868, 460, 272?

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 529, 868, 460, 272.

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}.