Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1042/931, 3896/245 quickly i.e. 2029816/49 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1042/931, 3896/245 is 2029816/49.
LCM(1042/931, 3896/245) = 2029816/49
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1042/931,3896/245
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 1042,3896
Least Common Multiple of Numerators i.e. LCM of 1042,3896 is 2029816.
GCF of Denominators means GCF of 931,245 as per the given fractions.
GCF of 931,245 is 49 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1042,3896
2 | 1042, 3896 |
521, 1948 |
∴ So the LCM of the given numbers is 2 x 521 x 1948 = 2029816
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 1042,3896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1042,3896) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1042,3896) x common factors =2 x 1 = 2
LCM(1042,3896) = ( 1042 × 3896 ) / 2
LCM(1042,3896) = 4059632 / 2
LCM(1042,3896) = 2029816
Lets's calculate GCF of 931,245
7 | 931, 245 |
7 | 133, 35 |
19, 5 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2029816/49
Therefore the LCM of Fractions 1042/931,3896/245 is 2029816/49
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Greatest Common Factor
We found the factors 931,245 . The biggest common factor number is the GCF number.
So the greatest common factor 931,245 is 49.
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 1042/931, 3896/245?
Answer: LCM of Numerators as per given numbers 1042/931, 3896/245 is
LCM of Numerators i.e. for 1042,3896 is 2029816
GCF of denominators i.e. for 931,245 is 49.
Thus, LCM of Fractions is 2029816/49.Finally, LCM of Fractions for 1042/931, 3896/245 is 2029816/49.