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LCM of 524, 380, 369, 495

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


Find the LCM of 524, 380, 369, 495 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 524, 380, 369, 495. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,380,369,495

Given numbers are 524,380,369,495

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

The LCM of 524,380,369,495 is 202057020.

Find LCM of 524,380,369,495 with Prime Factorization


2 524, 380, 369, 495
2 262, 190, 369, 495
3 131, 95, 369, 495
3 131, 95, 123, 165
5 131, 95, 41, 55
131, 19, 41, 11

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

2 x 2 x 3 x 3 x 5 x 131 x 19 x 41 x 11 = 202057020

Therefore, the lowest common multiple of 524,380,369,495 is 202057020.

LCM Formula to Find Lowest Common Multiple of 524,380,369,495

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.

524 x 380 x 369 x 495 = 36370263600

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.

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

369 : 1, 3, 9, 41, 123, 369

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,380,369,495, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

380:2x 2x 5x 19

369:3x 3x 41

495:3x 3x 5x 11

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 5 = 180

Therefore, the value for common factors is 180.

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 = 36370263600/(1x180)

LCM = 36370263600/180

LCM = 202057020

Thus, we can understand that the LCM of 524,380,369,495 is 202057020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 380, 369, 495

1. What is the LCM of 524, 380, 369, 495?

Answer: LCM of 524, 380, 369, 495 is 202057020.

2. How to calculate the LCM of 524, 380, 369, 495?

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 524, 380, 369, 495.

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}.