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LCM of 409, 983, 932, 982

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


Find the LCM of 409, 983, 932, 982 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 409, 983, 932, 982. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,983,932,982

Given numbers are 409,983,932,982

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

The LCM of 409,983,932,982 is 183981531764.

Find LCM of 409,983,932,982 with Prime Factorization


2 409, 983, 932, 982
409, 983, 466, 491

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

2 x 409 x 983 x 466 x 491 = 183981531764

Therefore, the lowest common multiple of 409,983,932,982 is 183981531764.

LCM Formula to Find Lowest Common Multiple of 409,983,932,982

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.

409 x 983 x 932 x 982 = 367963063528

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.

409 : 1, 409

983 : 1, 983

932 : 1, 2, 4, 233, 466, 932

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,983,932,982, is 1.

Now, the common factors can be found like this.

409:409

983:983

932:2x 2x 233

982:2x 491

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

2 = 2

Therefore, the value for common factors is 2.

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 = 367963063528/(1x2)

LCM = 367963063528/2

LCM = 183981531764

Thus, we can understand that the LCM of 409,983,932,982 is 183981531764.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 983, 932, 982

1. What is the LCM of 409, 983, 932, 982?

Answer: LCM of 409, 983, 932, 982 is 183981531764.

2. How to calculate the LCM of 409, 983, 932, 982?

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 409, 983, 932, 982.

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}.