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LCM of 726, 897, 598, 525

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


Find the LCM of 726, 897, 598, 525 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 726, 897, 598, 525. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 726,897,598,525

Given numbers are 726,897,598,525

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

The LCM of 726,897,598,525 is 37987950.

Find LCM of 726,897,598,525 with Prime Factorization


2 726, 897, 598, 525
3 363, 897, 299, 525
13 121, 299, 299, 175
23 121, 23, 23, 175
121, 1, 1, 175

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

2 x 3 x 13 x 23 x 121 x 1 x 1 x 175 = 37987950

Therefore, the lowest common multiple of 726,897,598,525 is 37987950.

LCM Formula to Find Lowest Common Multiple of 726,897,598,525

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.

726 x 897 x 598 x 525 = 204451146900

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

897 : 1, 3, 13, 23, 39, 69, 299, 897

598 : 1, 2, 13, 23, 26, 46, 299, 598

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,897,598,525, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

897:3x 13x 23

598:2x 13x 23

525:3x 5x 5x 7

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

2x 3x 3x 13x 23 = 5382

Therefore, the value for common factors is 5382.

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 = 204451146900/(1x5382)

LCM = 204451146900/5382

LCM = 37987950

Thus, we can understand that the LCM of 726,897,598,525 is 37987950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 726, 897, 598, 525

1. What is the LCM of 726, 897, 598, 525?

Answer: LCM of 726, 897, 598, 525 is 37987950.

2. How to calculate the LCM of 726, 897, 598, 525?

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 726, 897, 598, 525.

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}.