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LCM of 982, 549, 448, 962

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


Find the LCM of 982, 549, 448, 962 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 982, 549, 448, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 982,549,448,962

Given numbers are 982,549,448,962

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

The LCM of 982,549,448,962 is 58086729792.

Find LCM of 982,549,448,962 with Prime Factorization


2 982, 549, 448, 962
491, 549, 224, 481

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

2 x 491 x 549 x 224 x 481 = 58086729792

Therefore, the lowest common multiple of 982,549,448,962 is 58086729792.

LCM Formula to Find Lowest Common Multiple of 982,549,448,962

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.

982 x 549 x 448 x 962 = 232346919168

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.

982 : 1, 2, 491, 982

549 : 1, 3, 9, 61, 183, 549

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,549,448,962, is 1.

Now, the common factors can be found like this.

982:2x 491

549:3x 3x 61

448:2x 2x 2x 2x 2x 2x 7

962:2x 13x 37

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 232346919168/(1x4)

LCM = 232346919168/4

LCM = 58086729792

Thus, we can understand that the LCM of 982,549,448,962 is 58086729792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 982, 549, 448, 962

1. What is the LCM of 982, 549, 448, 962?

Answer: LCM of 982, 549, 448, 962 is 58086729792.

2. How to calculate the LCM of 982, 549, 448, 962?

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 982, 549, 448, 962.

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}.