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LCM of 595, 553, 553, 304

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


Find the LCM of 595, 553, 553, 304 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 595, 553, 553, 304. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 595,553,553,304

Given numbers are 595,553,553,304

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

The LCM of 595,553,553,304 is 14289520.

Find LCM of 595,553,553,304 with Prime Factorization


7 595, 553, 553, 304
79 85, 79, 79, 304
85, 1, 1, 304

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

7 x 79 x 85 x 1 x 1 x 304 = 14289520

Therefore, the lowest common multiple of 595,553,553,304 is 14289520.

LCM Formula to Find Lowest Common Multiple of 595,553,553,304

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.

595 x 553 x 553 x 304 = 55314731920

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.

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

553 : 1, 7, 79, 553

553 : 1, 7, 79, 553

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,553,553,304, is 1.

Now, the common factors can be found like this.

595:5x 7x 17

553:7x 79

553:7x 79

304:2x 2x 2x 2x 19

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

7x 7x 79 = 3871

Therefore, the value for common factors is 3871.

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 = 55314731920/(1x3871)

LCM = 55314731920/3871

LCM = 14289520

Thus, we can understand that the LCM of 595,553,553,304 is 14289520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 595, 553, 553, 304

1. What is the LCM of 595, 553, 553, 304?

Answer: LCM of 595, 553, 553, 304 is 14289520.

2. How to calculate the LCM of 595, 553, 553, 304?

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 595, 553, 553, 304.

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}.