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LCM of 590, 748, 500

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


Find the LCM of 590, 748, 500 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 590, 748, 500. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 590,748,500

Given numbers are 590,748,500

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

The LCM of 590,748,500 is 5516500.

Find LCM of 590,748,500 with Prime Factorization


2 590, 748, 500
2 295, 374, 250
5 295, 187, 125
59, 187, 25

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

2 x 2 x 5 x 59 x 187 x 25 = 5516500

Therefore, the lowest common multiple of 590,748,500 is 5516500.

LCM Formula to Find Lowest Common Multiple of 590,748,500

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.

590 x 748 x 500 = 220660000

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,748,500, is 2.

Now, the common factors can be found like this.

590:2x 5x 59

748:2x 2x 11x 17

500:2x 2x 5x 5x 5

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 5 = 20

Therefore, the value for common factors is 20.

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 = 220660000/(2x20)

LCM = 220660000/40

LCM = 5516500

Thus, we can understand that the LCM of 590,748,500 is 5516500.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 590, 748, 500

1. What is the LCM of 590, 748, 500?

Answer: LCM of 590, 748, 500 is 5516500.

2. How to calculate the LCM of 590, 748, 500?

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 590, 748, 500.

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}.