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LCM of 591, 942, 591, 461

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


Find the LCM of 591, 942, 591, 461 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 591, 942, 591, 461. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 591,942,591,461

Given numbers are 591,942,591,461

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

The LCM of 591,942,591,461 is 85549614.

Find LCM of 591,942,591,461 with Prime Factorization


3 591, 942, 591, 461
197 197, 314, 197, 461
1, 314, 1, 461

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

3 x 197 x 1 x 314 x 1 x 461 = 85549614

Therefore, the lowest common multiple of 591,942,591,461 is 85549614.

LCM Formula to Find Lowest Common Multiple of 591,942,591,461

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.

591 x 942 x 591 x 461 = 151679465622

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.

591 : 1, 3, 197, 591

942 : 1, 2, 3, 6, 157, 314, 471, 942

591 : 1, 3, 197, 591

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,942,591,461, is 1.

Now, the common factors can be found like this.

591:3x 197

942:2x 3x 157

591:3x 197

461:461

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

3x 3x 197 = 1773

Therefore, the value for common factors is 1773.

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 = 151679465622/(1x1773)

LCM = 151679465622/1773

LCM = 85549614

Thus, we can understand that the LCM of 591,942,591,461 is 85549614.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 591, 942, 591, 461

1. What is the LCM of 591, 942, 591, 461?

Answer: LCM of 591, 942, 591, 461 is 85549614.

2. How to calculate the LCM of 591, 942, 591, 461?

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 591, 942, 591, 461.

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}.