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LCM of 731, 374, 527, 317

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


Find the LCM of 731, 374, 527, 317 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 731, 374, 527, 317. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,374,527,317

Given numbers are 731,374,527,317

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

The LCM of 731,374,527,317 is 158037814.

Find LCM of 731,374,527,317 with Prime Factorization


17 731, 374, 527, 317
43, 22, 31, 317

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

17 x 43 x 22 x 31 x 317 = 158037814

Therefore, the lowest common multiple of 731,374,527,317 is 158037814.

LCM Formula to Find Lowest Common Multiple of 731,374,527,317

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.

731 x 374 x 527 x 317 = 45672928246

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.

731 : 1, 17, 43, 731

374 : 1, 2, 11, 17, 22, 34, 187, 374

527 : 1, 17, 31, 527

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,374,527,317, is 1.

Now, the common factors can be found like this.

731:17x 43

374:2x 11x 17

527:17x 31

317:317

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 45672928246/(1x289)

LCM = 45672928246/289

LCM = 158037814

Thus, we can understand that the LCM of 731,374,527,317 is 158037814.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 374, 527, 317

1. What is the LCM of 731, 374, 527, 317?

Answer: LCM of 731, 374, 527, 317 is 158037814.

2. How to calculate the LCM of 731, 374, 527, 317?

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 731, 374, 527, 317.

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}.