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LCM of 343, 657, 657, 976

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


Find the LCM of 343, 657, 657, 976 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, 657, 657, 976. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,657,657,976

Given numbers are 343,657,657,976

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

The LCM of 343,657,657,976 is 219942576.

Find LCM of 343,657,657,976 with Prime Factorization


3 343, 657, 657, 976
3 343, 219, 219, 976
73 343, 73, 73, 976
343, 1, 1, 976

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

3 x 3 x 73 x 343 x 1 x 1 x 976 = 219942576

Therefore, the lowest common multiple of 343,657,657,976 is 219942576.

LCM Formula to Find Lowest Common Multiple of 343,657,657,976

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 657 x 657 x 976 = 144502272432

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

657 : 1, 3, 9, 73, 219, 657

657 : 1, 3, 9, 73, 219, 657

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,657,657,976, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

657:3x 3x 73

657:3x 3x 73

976:2x 2x 2x 2x 61

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 73 = 657

Therefore, the value for common factors is 657.

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 = 144502272432/(1x657)

LCM = 144502272432/657

LCM = 219942576

Thus, we can understand that the LCM of 343,657,657,976 is 219942576.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 343, 657, 657, 976

1. What is the LCM of 343, 657, 657, 976?

Answer: LCM of 343, 657, 657, 976 is 219942576.

2. How to calculate the LCM of 343, 657, 657, 976?

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, 657, 657, 976.

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}.