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LCM of 975, 797, 385, 590, 392

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


Find the LCM of 975, 797, 385, 590, 392 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 975, 797, 385, 590, 392. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 975,797,385,590,392

Given numbers are 975,797,385,590,392

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

The LCM of 975,797,385,590,392 is 197694096600.

Find LCM of 975,797,385,590,392 with Prime Factorization


2 975, 797, 385, 590, 392
5 975, 797, 385, 295, 196
7 195, 797, 77, 59, 196
195, 797, 11, 59, 28

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

2 x 5 x 7 x 195 x 797 x 11 x 59 x 28 = 197694096600

Therefore, the lowest common multiple of 975,797,385,590,392 is 197694096600.

LCM Formula to Find Lowest Common Multiple of 975,797,385,590,392

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.

975 x 797 x 385 x 590 x 392 = 69192933810000

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.

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

797 : 1, 797

385 : 1, 5, 7, 11, 35, 55, 77, 385

590 : 1, 2, 5, 10, 59, 118, 295, 590

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,797,385,590,392, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

797:797

385:5x 7x 11

590:2x 5x 59

392:2x 2x 2x 7x 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 5x 5x 7 = 350

Therefore, the value for common factors is 350.

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 = 69192933810000/(1x350)

LCM = 69192933810000/350

LCM = 197694096600

Thus, we can understand that the LCM of 975,797,385,590,392 is 197694096600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 975, 797, 385, 590, 392

1. What is the LCM of 975, 797, 385, 590, 392?

Answer: LCM of 975, 797, 385, 590, 392 is 197694096600.

2. How to calculate the LCM of 975, 797, 385, 590, 392?

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 975, 797, 385, 590, 392.

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}.