Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4118/882, 1203/274 quickly i.e. 2476977 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4118/882, 1203/274 is 2476977.
LCM(4118/882, 1203/274) = 2476977
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4118/882,1203/274
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 4118,1203
Least Common Multiple of Numerators i.e. LCM of 4118,1203 is 4953954.
GCF of Denominators means GCF of 882,274 as per the given fractions.
GCF of 882,274 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4118,1203
Given numbers has no common factors except 1. So, there LCM is their product i.e 4953954
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 4118,1203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4118,1203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4118,1203) x common factors =1 x 1 = 1
LCM(4118,1203) = ( 4118 × 1203 ) / 1
LCM(4118,1203) = 4953954 / 1
LCM(4118,1203) = 4953954
Lets's calculate GCF of 882,274
2 | 882, 274 |
441, 137 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4953954/2
Therefore the LCM of Fractions 4118/882,1203/274 is 2476977
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Greatest Common Factor
We found the factors 882,274 . The biggest common factor number is the GCF number.
So the greatest common factor 882,274 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 4118/882, 1203/274?
Answer: LCM of Numerators as per given numbers 4118/882, 1203/274 is
LCM of Numerators i.e. for 4118,1203 is 4953954
GCF of denominators i.e. for 882,274 is 2.
Thus, LCM of Fractions is 2476977.Finally, LCM of Fractions for 4118/882, 1203/274 is 2476977.