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LCM of 393, 866, 982, 257, 982

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


Find the LCM of 393, 866, 982, 257, 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 393, 866, 982, 257, 982. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 393,866,982,257,982

Given numbers are 393,866,982,257,982

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

The LCM of 393,866,982,257,982 is 42946231206.

Find LCM of 393,866,982,257,982 with Prime Factorization


2 393, 866, 982, 257, 982
491 393, 433, 491, 257, 491
393, 433, 1, 257, 1

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

2 x 491 x 393 x 433 x 1 x 257 x 1 = 42946231206

Therefore, the lowest common multiple of 393,866,982,257,982 is 42946231206.

LCM Formula to Find Lowest Common Multiple of 393,866,982,257,982

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.

393 x 866 x 982 x 257 x 982 = 84346398088584

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.

393 : 1, 3, 131, 393

866 : 1, 2, 433, 866

982 : 1, 2, 491, 982

257 : 1, 257

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,866,982,257,982, is 1.

Now, the common factors can be found like this.

393:3x 131

866:2x 433

982:2x 491

257:257

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.

2x 2x 491 = 1964

Therefore, the value for common factors is 1964.

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 = 84346398088584/(1x1964)

LCM = 84346398088584/1964

LCM = 42946231206

Thus, we can understand that the LCM of 393,866,982,257,982 is 42946231206.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 393, 866, 982, 257, 982

1. What is the LCM of 393, 866, 982, 257, 982?

Answer: LCM of 393, 866, 982, 257, 982 is 42946231206.

2. How to calculate the LCM of 393, 866, 982, 257, 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 393, 866, 982, 257, 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}.