Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1631/976, 7646/7678 quickly i.e. 6235313 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1631/976, 7646/7678 is 6235313.
LCM(1631/976, 7646/7678) = 6235313
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1631/976,7646/7678
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 1631,7646
Least Common Multiple of Numerators i.e. LCM of 1631,7646 is 12470626.
GCF of Denominators means GCF of 976,7678 as per the given fractions.
GCF of 976,7678 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1631,7646
Given numbers has no common factors except 1. So, there LCM is their product i.e 12470626
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 1631,7646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1631,7646) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1631,7646) x common factors =1 x 1 = 1
LCM(1631,7646) = ( 1631 × 7646 ) / 1
LCM(1631,7646) = 12470626 / 1
LCM(1631,7646) = 12470626
Lets's calculate GCF of 976,7678
2 | 976, 7678 |
488, 3839 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12470626/2
Therefore the LCM of Fractions 1631/976,7646/7678 is 6235313
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 7678
List of positive integer factors of 7678 that divides 7678 without a remainder.
1,2,11,22,349,698,3839,7678
Greatest Common Factor
We found the factors 976,7678 . The biggest common factor number is the GCF number.
So the greatest common factor 976,7678 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 1631/976, 7646/7678?
Answer: LCM of Numerators as per given numbers 1631/976, 7646/7678 is
LCM of Numerators i.e. for 1631,7646 is 12470626
GCF of denominators i.e. for 976,7678 is 2.
Thus, LCM of Fractions is 6235313.Finally, LCM of Fractions for 1631/976, 7646/7678 is 6235313.