Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 743/890, 9156/1958 quickly i.e. 6802908/178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 743/890, 9156/1958 is 6802908/178.
LCM(743/890, 9156/1958) = 6802908/178
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 743/890,9156/1958
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 743,9156
Least Common Multiple of Numerators i.e. LCM of 743,9156 is 6802908.
GCF of Denominators means GCF of 890,1958 as per the given fractions.
GCF of 890,1958 is 178 as it is the largest common factor for these numbers.
Lets's calculate LCM of 743,9156
Given numbers has no common factors except 1. So, there LCM is their product i.e 6802908
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 743,9156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,9156) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,9156) x common factors =1 x 1 = 1
LCM(743,9156) = ( 743 × 9156 ) / 1
LCM(743,9156) = 6802908 / 1
LCM(743,9156) = 6802908
Lets's calculate GCF of 890,1958
2 | 890, 1958 |
89 | 445, 979 |
5, 11 |
∴ So the GCF of the given numbers is 2 x 89 = 178
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6802908/178
Therefore the LCM of Fractions 743/890,9156/1958 is 6802908/178
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 1958
List of positive integer factors of 1958 that divides 1958 without a remainder.
1,2,11,22,89,178,979,1958
Greatest Common Factor
We found the factors 890,1958 . The biggest common factor number is the GCF number.
So the greatest common factor 890,1958 is 178.
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 743/890, 9156/1958?
Answer: LCM of Numerators as per given numbers 743/890, 9156/1958 is
LCM of Numerators i.e. for 743,9156 is 6802908
GCF of denominators i.e. for 890,1958 is 178.
Thus, LCM of Fractions is 6802908/178.Finally, LCM of Fractions for 743/890, 9156/1958 is 6802908/178.