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LCM of 982, 743, 563, 116

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


Find the LCM of 982, 743, 563, 116 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, 743, 563, 116. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 982,743,563,116

Given numbers are 982,743,563,116

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

The LCM of 982,743,563,116 is 23825207404.

Find LCM of 982,743,563,116 with Prime Factorization


2 982, 743, 563, 116
491, 743, 563, 58

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

2 x 491 x 743 x 563 x 58 = 23825207404

Therefore, the lowest common multiple of 982,743,563,116 is 23825207404.

LCM Formula to Find Lowest Common Multiple of 982,743,563,116

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 743 x 563 x 116 = 47650414808

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

743 : 1, 743

563 : 1, 563

116 : 1, 2, 4, 29, 58, 116

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,743,563,116, is 1.

Now, the common factors can be found like this.

982:2x 491

743:743

563:563

116:2x 2x 29

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 = 47650414808/(1x2)

LCM = 47650414808/2

LCM = 23825207404

Thus, we can understand that the LCM of 982,743,563,116 is 23825207404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 982, 743, 563, 116

1. What is the LCM of 982, 743, 563, 116?

Answer: LCM of 982, 743, 563, 116 is 23825207404.

2. How to calculate the LCM of 982, 743, 563, 116?

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, 743, 563, 116.

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}.