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LCM of 271, 893, 864, 475, 963

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


Find the LCM of 271, 893, 864, 475, 963 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 271, 893, 864, 475, 963. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 271,893,864,475,963

Given numbers are 271,893,864,475,963

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

The LCM of 271,893,864,475,963 is 559317333600.

Find LCM of 271,893,864,475,963 with Prime Factorization


3 271, 893, 864, 475, 963
3 271, 893, 288, 475, 321
19 271, 893, 96, 475, 107
271, 47, 96, 25, 107

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

3 x 3 x 19 x 271 x 47 x 96 x 25 x 107 = 559317333600

Therefore, the lowest common multiple of 271,893,864,475,963 is 559317333600.

LCM Formula to Find Lowest Common Multiple of 271,893,864,475,963

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.

271 x 893 x 864 x 475 x 963 = 95643264045600

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.

271 : 1, 271

893 : 1, 19, 47, 893

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

475 : 1, 5, 19, 25, 95, 475

963 : 1, 3, 9, 107, 321, 963

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,893,864,475,963, is 1.

Now, the common factors can be found like this.

271:271

893:19x 47

864:2x 2x 2x 2x 2x 3x 3x 3

475:5x 5x 19

963:3x 3x 107

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

3x 3x 19 = 171

Therefore, the value for common factors is 171.

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 = 95643264045600/(1x171)

LCM = 95643264045600/171

LCM = 559317333600

Thus, we can understand that the LCM of 271,893,864,475,963 is 559317333600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 271, 893, 864, 475, 963

1. What is the LCM of 271, 893, 864, 475, 963?

Answer: LCM of 271, 893, 864, 475, 963 is 559317333600.

2. How to calculate the LCM of 271, 893, 864, 475, 963?

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 271, 893, 864, 475, 963.

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}.