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LCM of 272, 391, 153, 518

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


Find the LCM of 272, 391, 153, 518 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 272, 391, 153, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 272,391,153,518

Given numbers are 272,391,153,518

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

The LCM of 272,391,153,518 is 14582736.

Find LCM of 272,391,153,518 with Prime Factorization


2 272, 391, 153, 518
17 136, 391, 153, 259
8, 23, 9, 259

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

2 x 17 x 8 x 23 x 9 x 259 = 14582736

Therefore, the lowest common multiple of 272,391,153,518 is 14582736.

LCM Formula to Find Lowest Common Multiple of 272,391,153,518

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.

272 x 391 x 153 x 518 = 8428821408

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.

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

391 : 1, 17, 23, 391

153 : 1, 3, 9, 17, 51, 153

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,391,153,518, is 1.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

391:17x 23

153:3x 3x 17

518:2x 7x 37

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

2x 17x 17 = 578

Therefore, the value for common factors is 578.

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 = 8428821408/(1x578)

LCM = 8428821408/578

LCM = 14582736

Thus, we can understand that the LCM of 272,391,153,518 is 14582736.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 272, 391, 153, 518

1. What is the LCM of 272, 391, 153, 518?

Answer: LCM of 272, 391, 153, 518 is 14582736.

2. How to calculate the LCM of 272, 391, 153, 518?

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 272, 391, 153, 518.

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}.