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LCM of 287, 975, 533, 873, 893

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


Find the LCM of 287, 975, 533, 873, 893 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 287, 975, 533, 873, 893. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 287,975,533,873,893

Given numbers are 287,975,533,873,893

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

The LCM of 287,975,533,873,893 is 72716163975.

Find LCM of 287,975,533,873,893 with Prime Factorization


3 287, 975, 533, 873, 893
13 287, 325, 533, 291, 893
41 287, 25, 41, 291, 893
7, 25, 1, 291, 893

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

3 x 13 x 41 x 7 x 25 x 1 x 291 x 893 = 72716163975

Therefore, the lowest common multiple of 287,975,533,873,893 is 72716163975.

LCM Formula to Find Lowest Common Multiple of 287,975,533,873,893

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.

287 x 975 x 533 x 873 x 893 = 116273146196025

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.

287 : 1, 7, 41, 287

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

533 : 1, 13, 41, 533

873 : 1, 3, 9, 97, 291, 873

893 : 1, 19, 47, 893

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,975,533,873,893, is 1.

Now, the common factors can be found like this.

287:7x 41

975:3x 5x 5x 13

533:13x 41

873:3x 3x 97

893:19x 47

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

3x 13x 41 = 1599

Therefore, the value for common factors is 1599.

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 = 116273146196025/(1x1599)

LCM = 116273146196025/1599

LCM = 72716163975

Thus, we can understand that the LCM of 287,975,533,873,893 is 72716163975.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 287, 975, 533, 873, 893

1. What is the LCM of 287, 975, 533, 873, 893?

Answer: LCM of 287, 975, 533, 873, 893 is 72716163975.

2. How to calculate the LCM of 287, 975, 533, 873, 893?

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 287, 975, 533, 873, 893.

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}.