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LCM of 341, 936, 522, 595

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


Find the LCM of 341, 936, 522, 595 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 341, 936, 522, 595. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,936,522,595

Given numbers are 341,936,522,595

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

The LCM of 341,936,522,595 is 5507381880.

Find LCM of 341,936,522,595 with Prime Factorization


2 341, 936, 522, 595
3 341, 468, 261, 595
3 341, 156, 87, 595
341, 52, 29, 595

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

2 x 3 x 3 x 341 x 52 x 29 x 595 = 5507381880

Therefore, the lowest common multiple of 341,936,522,595 is 5507381880.

LCM Formula to Find Lowest Common Multiple of 341,936,522,595

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.

341 x 936 x 522 x 595 = 99132873840

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.

341 : 1, 11, 31, 341

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

595 : 1, 5, 7, 17, 35, 85, 119, 595

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,936,522,595, is 1.

Now, the common factors can be found like this.

341:11x 31

936:2x 2x 2x 3x 3x 13

522:2x 3x 3x 29

595:5x 7x 17

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 3 = 18

Therefore, the value for common factors is 18.

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 = 99132873840/(1x18)

LCM = 99132873840/18

LCM = 5507381880

Thus, we can understand that the LCM of 341,936,522,595 is 5507381880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 936, 522, 595

1. What is the LCM of 341, 936, 522, 595?

Answer: LCM of 341, 936, 522, 595 is 5507381880.

2. How to calculate the LCM of 341, 936, 522, 595?

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 341, 936, 522, 595.

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}.