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LCM of 508, 306, 102, 589

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


Find the LCM of 508, 306, 102, 589 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 508, 306, 102, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 508,306,102,589

Given numbers are 508,306,102,589

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

The LCM of 508,306,102,589 is 45779436.

Find LCM of 508,306,102,589 with Prime Factorization


2 508, 306, 102, 589
3 254, 153, 51, 589
17 254, 17, 51, 589
254, 1, 3, 589

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

2 x 3 x 17 x 254 x 1 x 3 x 589 = 45779436

Therefore, the lowest common multiple of 508,306,102,589 is 45779436.

LCM Formula to Find Lowest Common Multiple of 508,306,102,589

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.

508 x 306 x 102 x 589 = 9339004944

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.

508 : 1, 2, 4, 127, 254, 508

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

102 : 1, 2, 3, 6, 17, 34, 51, 102

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,306,102,589, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

306:2x 3x 3x 17

102:2x 3x 17

589:19x 31

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

2x 2x 3x 17 = 204

Therefore, the value for common factors is 204.

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 = 9339004944/(1x204)

LCM = 9339004944/204

LCM = 45779436

Thus, we can understand that the LCM of 508,306,102,589 is 45779436.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 508, 306, 102, 589

1. What is the LCM of 508, 306, 102, 589?

Answer: LCM of 508, 306, 102, 589 is 45779436.

2. How to calculate the LCM of 508, 306, 102, 589?

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 508, 306, 102, 589.

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}.