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LCM of 460, 760, 496, 589

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


Find the LCM of 460, 760, 496, 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 460, 760, 496, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 460,760,496,589

Given numbers are 460,760,496,589

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

The LCM of 460,760,496,589 is 1083760.

Find LCM of 460,760,496,589 with Prime Factorization


2 460, 760, 496, 589
2 230, 380, 248, 589
2 115, 190, 124, 589
5 115, 95, 62, 589
19 23, 19, 62, 589
31 23, 1, 62, 31
23, 1, 2, 1

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

2 x 2 x 2 x 5 x 19 x 31 x 23 x 1 x 2 x 1 = 1083760

Therefore, the lowest common multiple of 460,760,496,589 is 1083760.

LCM Formula to Find Lowest Common Multiple of 460,760,496,589

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.

460 x 760 x 496 x 589 = 102133542400

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,760,496,589, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

760:2x 2x 2x 5x 19

496:2x 2x 2x 2x 31

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 2x 2x 2x 5x 19x 31 = 94240

Therefore, the value for common factors is 94240.

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 = 102133542400/(1x94240)

LCM = 102133542400/94240

LCM = 1083760

Thus, we can understand that the LCM of 460,760,496,589 is 1083760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 460, 760, 496, 589

1. What is the LCM of 460, 760, 496, 589?

Answer: LCM of 460, 760, 496, 589 is 1083760.

2. How to calculate the LCM of 460, 760, 496, 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 460, 760, 496, 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}.