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LCM of 740, 509, 665, 794, 595

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


Find the LCM of 740, 509, 665, 794, 595 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 740, 509, 665, 794, 595. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 740,509,665,794,595

Given numbers are 740,509,665,794,595

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

The LCM of 740,509,665,794,595 is 338096419220.

Find LCM of 740,509,665,794,595 with Prime Factorization


2 740, 509, 665, 794, 595
5 370, 509, 665, 397, 595
7 74, 509, 133, 397, 119
74, 509, 19, 397, 17

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

2 x 5 x 7 x 74 x 509 x 19 x 397 x 17 = 338096419220

Therefore, the lowest common multiple of 740,509,665,794,595 is 338096419220.

LCM Formula to Find Lowest Common Multiple of 740,509,665,794,595

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.

740 x 509 x 665 x 794 x 595 = 118333746727000

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

509 : 1, 509

665 : 1, 5, 7, 19, 35, 95, 133, 665

794 : 1, 2, 397, 794

595 : 1, 5, 7, 17, 35, 85, 119, 595

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,509,665,794,595, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

509:509

665:5x 7x 19

794:2x 397

595:5x 7x 17

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

2x 5x 5x 7 = 350

Therefore, the value for common factors is 350.

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 = 118333746727000/(1x350)

LCM = 118333746727000/350

LCM = 338096419220

Thus, we can understand that the LCM of 740,509,665,794,595 is 338096419220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 740, 509, 665, 794, 595

1. What is the LCM of 740, 509, 665, 794, 595?

Answer: LCM of 740, 509, 665, 794, 595 is 338096419220.

2. How to calculate the LCM of 740, 509, 665, 794, 595?

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 740, 509, 665, 794, 595.

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}.