Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1121/426, 7637/1150 quickly i.e. 8561077/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1121/426, 7637/1150 is 8561077/2.
LCM(1121/426, 7637/1150) = 8561077/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1121/426,7637/1150
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 1121,7637
Least Common Multiple of Numerators i.e. LCM of 1121,7637 is 8561077.
GCF of Denominators means GCF of 426,1150 as per the given fractions.
GCF of 426,1150 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1121,7637
Given numbers has no common factors except 1. So, there LCM is their product i.e 8561077
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 1121,7637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1121,7637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1121,7637) x common factors =1 x 1 = 1
LCM(1121,7637) = ( 1121 × 7637 ) / 1
LCM(1121,7637) = 8561077 / 1
LCM(1121,7637) = 8561077
Lets's calculate GCF of 426,1150
2 | 426, 1150 |
213, 575 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8561077/2
Therefore the LCM of Fractions 1121/426,7637/1150 is 8561077/2
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 1150
List of positive integer factors of 1150 that divides 1150 without a remainder.
1,2,5,10,23,25,46,50,115,230,575,1150
Greatest Common Factor
We found the factors 426,1150 . The biggest common factor number is the GCF number.
So the greatest common factor 426,1150 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 1121/426, 7637/1150?
Answer: LCM of Numerators as per given numbers 1121/426, 7637/1150 is
LCM of Numerators i.e. for 1121,7637 is 8561077
GCF of denominators i.e. for 426,1150 is 2.
Thus, LCM of Fractions is 8561077/2.Finally, LCM of Fractions for 1121/426, 7637/1150 is 8561077/2.