Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 741/845, 1976/875 quickly i.e. 5928/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 741/845, 1976/875 is 5928/5.
LCM(741/845, 1976/875) = 5928/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 741/845,1976/875
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 741,1976
Least Common Multiple of Numerators i.e. LCM of 741,1976 is 5928.
GCF of Denominators means GCF of 845,875 as per the given fractions.
GCF of 845,875 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 741,1976
13 | 741, 1976 |
19 | 57, 152 |
3, 8 |
∴ So the LCM of the given numbers is 13 x 19 x 3 x 8 = 5928
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 741,1976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,1976) = 247
common factors(in case of two or more numbers have common factors) = 1
GCF(741,1976) x common factors =247 x 1 = 247
LCM(741,1976) = ( 741 × 1976 ) / 247
LCM(741,1976) = 1464216 / 247
LCM(741,1976) = 5928
Lets's calculate GCF of 845,875
5 | 845, 875 |
169, 175 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5928/5
Therefore the LCM of Fractions 741/845,1976/875 is 5928/5
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 845,875 . The biggest common factor number is the GCF number.
So the greatest common factor 845,875 is 5.
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 741/845, 1976/875?
Answer: LCM of Numerators as per given numbers 741/845, 1976/875 is
LCM of Numerators i.e. for 741,1976 is 5928
GCF of denominators i.e. for 845,875 is 5.
Thus, LCM of Fractions is 5928/5.Finally, LCM of Fractions for 741/845, 1976/875 is 5928/5.