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LCM of 589, 137, 548

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


Find the LCM of 589, 137, 548 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 589, 137, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,137,548

Given numbers are 589,137,548

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

The LCM of 589,137,548 is 322772.

Find LCM of 589,137,548 with Prime Factorization


137 589, 137, 548
589, 1, 4

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

137 x 589 x 1 x 4 = 322772

Therefore, the lowest common multiple of 589,137,548 is 322772.

LCM Formula to Find Lowest Common Multiple of 589,137,548

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.

589 x 137 x 548 = 44219764

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.

589 : 1, 19, 31, 589

137 : 1, 137

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,137,548, is 1.

Now, the common factors can be found like this.

589:19x 31

137:137

548:2x 2x 137

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

137 = 137

Therefore, the value for common factors is 137.

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 = 44219764/(1x137)

LCM = 44219764/137

LCM = 322772

Thus, we can understand that the LCM of 589,137,548 is 322772.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 589, 137, 548

1. What is the LCM of 589, 137, 548?

Answer: LCM of 589, 137, 548 is 322772.

2. How to calculate the LCM of 589, 137, 548?

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 589, 137, 548.

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}.