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LCM of 510, 561, 369, 272

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


Find the LCM of 510, 561, 369, 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 510, 561, 369, 272. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 510,561,369,272

Given numbers are 510,561,369,272

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

The LCM of 510,561,369,272 is 5520240.

Find LCM of 510,561,369,272 with Prime Factorization


2 510, 561, 369, 272
3 255, 561, 369, 136
17 85, 187, 123, 136
5, 11, 123, 8

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

2 x 3 x 17 x 5 x 11 x 123 x 8 = 5520240

Therefore, the lowest common multiple of 510,561,369,272 is 5520240.

LCM Formula to Find Lowest Common Multiple of 510,561,369,272

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.

510 x 561 x 369 x 272 = 28716288480

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.

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

561 : 1, 3, 11, 17, 33, 51, 187, 561

369 : 1, 3, 9, 41, 123, 369

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 510,561,369,272, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

561:3x 11x 17

369:3x 3x 41

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 3x 3x 17x 17 = 5202

Therefore, the value for common factors is 5202.

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 = 28716288480/(1x5202)

LCM = 28716288480/5202

LCM = 5520240

Thus, we can understand that the LCM of 510,561,369,272 is 5520240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 510, 561, 369, 272

1. What is the LCM of 510, 561, 369, 272?

Answer: LCM of 510, 561, 369, 272 is 5520240.

2. How to calculate the LCM of 510, 561, 369, 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 510, 561, 369, 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}.