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LCM of 632, 272, 716, 476, 486

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


Find the LCM of 632, 272, 716, 476, 486 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 632, 272, 716, 476, 486. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 632,272,716,476,486

Given numbers are 632,272,716,476,486

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

The LCM of 632,272,716,476,486 is 6542644752.

Find LCM of 632,272,716,476,486 with Prime Factorization


2 632, 272, 716, 476, 486
2 316, 136, 358, 238, 243
2 158, 68, 179, 119, 243
17 79, 34, 179, 119, 243
79, 2, 179, 7, 243

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

2 x 2 x 2 x 17 x 79 x 2 x 179 x 7 x 243 = 6542644752

Therefore, the lowest common multiple of 632,272,716,476,486 is 6542644752.

LCM Formula to Find Lowest Common Multiple of 632,272,716,476,486

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.

632 x 272 x 716 x 476 x 486 = 28473589960704

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.

632 : 1, 2, 4, 8, 79, 158, 316, 632

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

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

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,272,716,476,486, is 2.

Now, the common factors can be found like this.

632:2x 2x 2x 79

272:2x 2x 2x 2x 17

716:2x 2x 179

476:2x 2x 7x 17

486:2x 3x 3x 3x 3x 3

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 2x 17 = 2176

Therefore, the value for common factors is 2176.

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 = 28473589960704/(2x2176)

LCM = 28473589960704/4352

LCM = 6542644752

Thus, we can understand that the LCM of 632,272,716,476,486 is 6542644752.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 632, 272, 716, 476, 486

1. What is the LCM of 632, 272, 716, 476, 486?

Answer: LCM of 632, 272, 716, 476, 486 is 6542644752.

2. How to calculate the LCM of 632, 272, 716, 476, 486?

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 632, 272, 716, 476, 486.

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}.