Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 137/980, 2011/822 quickly i.e. 275507/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 137/980, 2011/822 is 275507/2.
LCM(137/980, 2011/822) = 275507/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 137/980,2011/822
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 137,2011
Least Common Multiple of Numerators i.e. LCM of 137,2011 is 275507.
GCF of Denominators means GCF of 980,822 as per the given fractions.
GCF of 980,822 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 137,2011
Given numbers has no common factors except 1. So, there LCM is their product i.e 275507
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 137,2011 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,2011) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,2011) x common factors =1 x 1 = 1
LCM(137,2011) = ( 137 × 2011 ) / 1
LCM(137,2011) = 275507 / 1
LCM(137,2011) = 275507
Lets's calculate GCF of 980,822
2 | 980, 822 |
490, 411 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275507/2
Therefore the LCM of Fractions 137/980,2011/822 is 275507/2
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Greatest Common Factor
We found the factors 980,822 . The biggest common factor number is the GCF number.
So the greatest common factor 980,822 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 137/980, 2011/822?
Answer: LCM of Numerators as per given numbers 137/980, 2011/822 is
LCM of Numerators i.e. for 137,2011 is 275507
GCF of denominators i.e. for 980,822 is 2.
Thus, LCM of Fractions is 275507/2.Finally, LCM of Fractions for 137/980, 2011/822 is 275507/2.