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LCM of 279, 444, 982, 379

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


Find the LCM of 279, 444, 982, 379 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 279, 444, 982, 379. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 279,444,982,379

Given numbers are 279,444,982,379

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

The LCM of 279,444,982,379 is 7683986988.

Find LCM of 279,444,982,379 with Prime Factorization


2 279, 444, 982, 379
3 279, 222, 491, 379
93, 74, 491, 379

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

2 x 3 x 93 x 74 x 491 x 379 = 7683986988

Therefore, the lowest common multiple of 279,444,982,379 is 7683986988.

LCM Formula to Find Lowest Common Multiple of 279,444,982,379

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.

279 x 444 x 982 x 379 = 46103921928

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.

279 : 1, 3, 9, 31, 93, 279

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

982 : 1, 2, 491, 982

379 : 1, 379

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,444,982,379, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

444:2x 2x 3x 37

982:2x 491

379:379

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 46103921928/(1x6)

LCM = 46103921928/6

LCM = 7683986988

Thus, we can understand that the LCM of 279,444,982,379 is 7683986988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 279, 444, 982, 379

1. What is the LCM of 279, 444, 982, 379?

Answer: LCM of 279, 444, 982, 379 is 7683986988.

2. How to calculate the LCM of 279, 444, 982, 379?

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 279, 444, 982, 379.

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}.