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LCM of 845, 597, 977, 575, 959

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


Find the LCM of 845, 597, 977, 575, 959 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 845, 597, 977, 575, 959. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 845,597,977,575,959

Given numbers are 845,597,977,575,959

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

The LCM of 845,597,977,575,959 is 54355319306925.

Find LCM of 845,597,977,575,959 with Prime Factorization


5 845, 597, 977, 575, 959
169, 597, 977, 115, 959

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

5 x 169 x 597 x 977 x 115 x 959 = 54355319306925

Therefore, the lowest common multiple of 845,597,977,575,959 is 54355319306925.

LCM Formula to Find Lowest Common Multiple of 845,597,977,575,959

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.

845 x 597 x 977 x 575 x 959 = 271776596534625

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.

845 : 1, 5, 13, 65, 169, 845

597 : 1, 3, 199, 597

977 : 1, 977

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

959 : 1, 7, 137, 959

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,597,977,575,959, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

597:3x 199

977:977

575:5x 5x 23

959:7x 137

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

5 = 5

Therefore, the value for common factors is 5.

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 = 271776596534625/(1x5)

LCM = 271776596534625/5

LCM = 54355319306925

Thus, we can understand that the LCM of 845,597,977,575,959 is 54355319306925.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 845, 597, 977, 575, 959

1. What is the LCM of 845, 597, 977, 575, 959?

Answer: LCM of 845, 597, 977, 575, 959 is 54355319306925.

2. How to calculate the LCM of 845, 597, 977, 575, 959?

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 845, 597, 977, 575, 959.

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}.