Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 112/84, 621/2210 quickly i.e. 34776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 112/84, 621/2210 is 34776.
LCM(112/84, 621/2210) = 34776
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 112/84,621/2210
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 112,621
Least Common Multiple of Numerators i.e. LCM of 112,621 is 69552.
GCF of Denominators means GCF of 84,2210 as per the given fractions.
GCF of 84,2210 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 112,621
Given numbers has no common factors except 1. So, there LCM is their product i.e 69552
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 112,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(112,621) x common factors =1 x 1 = 1
LCM(112,621) = ( 112 × 621 ) / 1
LCM(112,621) = 69552 / 1
LCM(112,621) = 69552
Lets's calculate GCF of 84,2210
2 | 84, 2210 |
42, 1105 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69552/2
Therefore the LCM of Fractions 112/84,621/2210 is 34776
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 2210
List of positive integer factors of 2210 that divides 2210 without a remainder.
1,2,5,10,13,17,26,34,65,85,130,170,221,442,1105,2210
Greatest Common Factor
We found the factors 84,2210 . The biggest common factor number is the GCF number.
So the greatest common factor 84,2210 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 112/84, 621/2210?
Answer: LCM of Numerators as per given numbers 112/84, 621/2210 is
LCM of Numerators i.e. for 112,621 is 69552
GCF of denominators i.e. for 84,2210 is 2.
Thus, LCM of Fractions is 34776.Finally, LCM of Fractions for 112/84, 621/2210 is 34776.