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LCM of 575, 341, 993, 961

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


Find the LCM of 575, 341, 993, 961 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 575, 341, 993, 961. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 575,341,993,961

Given numbers are 575,341,993,961

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

The LCM of 575,341,993,961 is 6035776725.

Find LCM of 575,341,993,961 with Prime Factorization


31 575, 341, 993, 961
575, 11, 993, 31

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

31 x 575 x 11 x 993 x 31 = 6035776725

Therefore, the lowest common multiple of 575,341,993,961 is 6035776725.

LCM Formula to Find Lowest Common Multiple of 575,341,993,961

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.

575 x 341 x 993 x 961 = 187109078475

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.

575 : 1, 5, 23, 25, 115, 575

341 : 1, 11, 31, 341

993 : 1, 3, 331, 993

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,341,993,961, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

341:11x 31

993:3x 331

961:31x 31

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

31 = 31

Therefore, the value for common factors is 31.

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 = 187109078475/(1x31)

LCM = 187109078475/31

LCM = 6035776725

Thus, we can understand that the LCM of 575,341,993,961 is 6035776725.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 575, 341, 993, 961

1. What is the LCM of 575, 341, 993, 961?

Answer: LCM of 575, 341, 993, 961 is 6035776725.

2. How to calculate the LCM of 575, 341, 993, 961?

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 575, 341, 993, 961.

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}.