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LCM of 287, 713, 975, 575

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


Find the LCM of 287, 713, 975, 575 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, 713, 975, 575. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 287,713,975,575

Given numbers are 287,713,975,575

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

The LCM of 287,713,975,575 is 199515225.

Find LCM of 287,713,975,575 with Prime Factorization


5 287, 713, 975, 575
5 287, 713, 195, 115
23 287, 713, 39, 23
287, 31, 39, 1

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

5 x 5 x 23 x 287 x 31 x 39 x 1 = 199515225

Therefore, the lowest common multiple of 287,713,975,575 is 199515225.

LCM Formula to Find Lowest Common Multiple of 287,713,975,575

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 713 x 975 x 575 = 114721254375

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

713 : 1, 23, 31, 713

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

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,713,975,575, is 1.

Now, the common factors can be found like this.

287:7x 41

713:23x 31

975:3x 5x 5x 13

575:5x 5x 23

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

5x 5x 23 = 575

Therefore, the value for common factors is 575.

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 = 114721254375/(1x575)

LCM = 114721254375/575

LCM = 199515225

Thus, we can understand that the LCM of 287,713,975,575 is 199515225.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 287, 713, 975, 575

1. What is the LCM of 287, 713, 975, 575?

Answer: LCM of 287, 713, 975, 575 is 199515225.

2. How to calculate the LCM of 287, 713, 975, 575?

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, 713, 975, 575.

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}.