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LCM of 397, 674, 171, 337, 678

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


Find the LCM of 397, 674, 171, 337, 678 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 397, 674, 171, 337, 678. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 397,674,171,337,678

Given numbers are 397,674,171,337,678

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

The LCM of 397,674,171,337,678 is 5170409694.

Find LCM of 397,674,171,337,678 with Prime Factorization


2 397, 674, 171, 337, 678
3 397, 337, 171, 337, 339
337 397, 337, 57, 337, 113
397, 1, 57, 1, 113

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

2 x 3 x 337 x 397 x 1 x 57 x 1 x 113 = 5170409694

Therefore, the lowest common multiple of 397,674,171,337,678 is 5170409694.

LCM Formula to Find Lowest Common Multiple of 397,674,171,337,678

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.

397 x 674 x 171 x 337 x 678 = 10454568401268

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.

397 : 1, 397

674 : 1, 2, 337, 674

171 : 1, 3, 9, 19, 57, 171

337 : 1, 337

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,674,171,337,678, is 1.

Now, the common factors can be found like this.

397:397

674:2x 337

171:3x 3x 19

337:337

678:2x 3x 113

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

2x 3x 337 = 2022

Therefore, the value for common factors is 2022.

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 = 10454568401268/(1x2022)

LCM = 10454568401268/2022

LCM = 5170409694

Thus, we can understand that the LCM of 397,674,171,337,678 is 5170409694.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 397, 674, 171, 337, 678

1. What is the LCM of 397, 674, 171, 337, 678?

Answer: LCM of 397, 674, 171, 337, 678 is 5170409694.

2. How to calculate the LCM of 397, 674, 171, 337, 678?

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 397, 674, 171, 337, 678.

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}.