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LCM of 360, 897, 495, 331, 524

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


Find the LCM of 360, 897, 495, 331, 524 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 360, 897, 495, 331, 524. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 360,897,495,331,524

Given numbers are 360,897,495,331,524

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

The LCM of 360,897,495,331,524 is 51341158440.

Find LCM of 360,897,495,331,524 with Prime Factorization


2 360, 897, 495, 331, 524
2 180, 897, 495, 331, 262
3 90, 897, 495, 331, 131
3 30, 299, 165, 331, 131
5 10, 299, 55, 331, 131
2, 299, 11, 331, 131

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

2 x 2 x 3 x 3 x 5 x 2 x 299 x 11 x 331 x 131 = 51341158440

Therefore, the lowest common multiple of 360,897,495,331,524 is 51341158440.

LCM Formula to Find Lowest Common Multiple of 360,897,495,331,524

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.

360 x 897 x 495 x 331 x 524 = 27724225557600

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

331 : 1, 331

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,897,495,331,524, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

897:3x 13x 23

495:3x 3x 5x 11

331:331

524:2x 2x 131

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

2x 2x 3x 3x 3x 5 = 540

Therefore, the value for common factors is 540.

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 = 27724225557600/(1x540)

LCM = 27724225557600/540

LCM = 51341158440

Thus, we can understand that the LCM of 360,897,495,331,524 is 51341158440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 360, 897, 495, 331, 524

1. What is the LCM of 360, 897, 495, 331, 524?

Answer: LCM of 360, 897, 495, 331, 524 is 51341158440.

2. How to calculate the LCM of 360, 897, 495, 331, 524?

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 360, 897, 495, 331, 524.

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}.