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LCM of 337, 500, 760, 665

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


Find the LCM of 337, 500, 760, 665 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 337, 500, 760, 665. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 337,500,760,665

Given numbers are 337,500,760,665

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

The LCM of 337,500,760,665 is 44821000.

Find LCM of 337,500,760,665 with Prime Factorization


2 337, 500, 760, 665
2 337, 250, 380, 665
5 337, 125, 190, 665
19 337, 25, 38, 133
337, 25, 2, 7

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

2 x 2 x 5 x 19 x 337 x 25 x 2 x 7 = 44821000

Therefore, the lowest common multiple of 337,500,760,665 is 44821000.

LCM Formula to Find Lowest Common Multiple of 337,500,760,665

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.

337 x 500 x 760 x 665 = 85159900000

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.

337 : 1, 337

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

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,500,760,665, is 1.

Now, the common factors can be found like this.

337:337

500:2x 2x 5x 5x 5

760:2x 2x 2x 5x 19

665:5x 7x 19

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 5x 5x 19 = 1900

Therefore, the value for common factors is 1900.

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 = 85159900000/(1x1900)

LCM = 85159900000/1900

LCM = 44821000

Thus, we can understand that the LCM of 337,500,760,665 is 44821000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 337, 500, 760, 665

1. What is the LCM of 337, 500, 760, 665?

Answer: LCM of 337, 500, 760, 665 is 44821000.

2. How to calculate the LCM of 337, 500, 760, 665?

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 337, 500, 760, 665.

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}.