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LCM of 580, 932, 742

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


Find the LCM of 580, 932, 742 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 580, 932, 742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 580,932,742

Given numbers are 580,932,742

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

The LCM of 580,932,742 is 50136940.

Find LCM of 580,932,742 with Prime Factorization


2 580, 932, 742
2 290, 466, 371
145, 233, 371

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

2 x 2 x 145 x 233 x 371 = 50136940

Therefore, the lowest common multiple of 580,932,742 is 50136940.

LCM Formula to Find Lowest Common Multiple of 580,932,742

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.

580 x 932 x 742 = 401095520

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

932 : 1, 2, 4, 233, 466, 932

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,932,742, is 2.

Now, the common factors can be found like this.

580:2x 2x 5x 29

932:2x 2x 233

742:2x 7x 53

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 401095520/(2x4)

LCM = 401095520/8

LCM = 50136940

Thus, we can understand that the LCM of 580,932,742 is 50136940.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 580, 932, 742

1. What is the LCM of 580, 932, 742?

Answer: LCM of 580, 932, 742 is 50136940.

2. How to calculate the LCM of 580, 932, 742?

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 580, 932, 742.

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}.