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LCM of 343, 249, 654, 327

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


Find the LCM of 343, 249, 654, 327 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 343, 249, 654, 327. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,249,654,327

Given numbers are 343,249,654,327

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

The LCM of 343,249,654,327 is 18618726.

Find LCM of 343,249,654,327 with Prime Factorization


3 343, 249, 654, 327
109 343, 83, 218, 109
343, 83, 2, 1

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

3 x 109 x 343 x 83 x 2 x 1 = 18618726

Therefore, the lowest common multiple of 343,249,654,327 is 18618726.

LCM Formula to Find Lowest Common Multiple of 343,249,654,327

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.

343 x 249 x 654 x 327 = 18264970206

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.

343 : 1, 7, 49, 343

249 : 1, 3, 83, 249

654 : 1, 2, 3, 6, 109, 218, 327, 654

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,249,654,327, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

249:3x 83

654:2x 3x 109

327:3x 109

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

3x 3x 109 = 981

Therefore, the value for common factors is 981.

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 = 18264970206/(1x981)

LCM = 18264970206/981

LCM = 18618726

Thus, we can understand that the LCM of 343,249,654,327 is 18618726.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 343, 249, 654, 327

1. What is the LCM of 343, 249, 654, 327?

Answer: LCM of 343, 249, 654, 327 is 18618726.

2. How to calculate the LCM of 343, 249, 654, 327?

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 343, 249, 654, 327.

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}.