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LCM of 479, 179, 624, 272, 716

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


Find the LCM of 479, 179, 624, 272, 716 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 479, 179, 624, 272, 716. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 479,179,624,272,716

Given numbers are 479,179,624,272,716

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

The LCM of 479,179,624,272,716 is 909540528.

Find LCM of 479,179,624,272,716 with Prime Factorization


2 479, 179, 624, 272, 716
2 479, 179, 312, 136, 358
2 479, 179, 156, 68, 179
2 479, 179, 78, 34, 179
179 479, 179, 39, 17, 179
479, 1, 39, 17, 1

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

2 x 2 x 2 x 2 x 179 x 479 x 1 x 39 x 17 x 1 = 909540528

Therefore, the lowest common multiple of 479,179,624,272,716 is 909540528.

LCM Formula to Find Lowest Common Multiple of 479,179,624,272,716

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.

479 x 179 x 624 x 272 x 716 = 10419696288768

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.

479 : 1, 479

179 : 1, 179

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,179,624,272,716, is 1.

Now, the common factors can be found like this.

479:479

179:179

624:2x 2x 2x 2x 3x 13

272:2x 2x 2x 2x 17

716:2x 2x 179

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 2x 2x 179 = 11456

Therefore, the value for common factors is 11456.

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 = 10419696288768/(1x11456)

LCM = 10419696288768/11456

LCM = 909540528

Thus, we can understand that the LCM of 479,179,624,272,716 is 909540528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 479, 179, 624, 272, 716

1. What is the LCM of 479, 179, 624, 272, 716?

Answer: LCM of 479, 179, 624, 272, 716 is 909540528.

2. How to calculate the LCM of 479, 179, 624, 272, 716?

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 479, 179, 624, 272, 716.

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}.