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LCM of 337, 674, 824, 514

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


Find the LCM of 337, 674, 824, 514 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, 674, 824, 514. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 337,674,824,514

Given numbers are 337,674,824,514

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

The LCM of 337,674,824,514 is 71365816.

Find LCM of 337,674,824,514 with Prime Factorization


2 337, 674, 824, 514
337 337, 337, 412, 257
1, 1, 412, 257

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

2 x 337 x 1 x 1 x 412 x 257 = 71365816

Therefore, the lowest common multiple of 337,674,824,514 is 71365816.

LCM Formula to Find Lowest Common Multiple of 337,674,824,514

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 674 x 824 x 514 = 96201119968

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

674 : 1, 2, 337, 674

824 : 1, 2, 4, 8, 103, 206, 412, 824

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,674,824,514, is 1.

Now, the common factors can be found like this.

337:337

674:2x 337

824:2x 2x 2x 103

514:2x 257

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 337 = 1348

Therefore, the value for common factors is 1348.

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 = 96201119968/(1x1348)

LCM = 96201119968/1348

LCM = 71365816

Thus, we can understand that the LCM of 337,674,824,514 is 71365816.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 337, 674, 824, 514

1. What is the LCM of 337, 674, 824, 514?

Answer: LCM of 337, 674, 824, 514 is 71365816.

2. How to calculate the LCM of 337, 674, 824, 514?

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, 674, 824, 514.

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}.