Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 910/889, 7385/2485 quickly i.e. 27430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 910/889, 7385/2485 is 27430.
LCM(910/889, 7385/2485) = 27430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 910/889,7385/2485
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 910,7385
Least Common Multiple of Numerators i.e. LCM of 910,7385 is 192010.
GCF of Denominators means GCF of 889,2485 as per the given fractions.
GCF of 889,2485 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 910,7385
5 | 910, 7385 |
7 | 182, 1477 |
26, 211 |
∴ So the LCM of the given numbers is 5 x 7 x 26 x 211 = 192010
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 910,7385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,7385) = 35
common factors(in case of two or more numbers have common factors) = 1
GCF(910,7385) x common factors =35 x 1 = 35
LCM(910,7385) = ( 910 × 7385 ) / 35
LCM(910,7385) = 6720350 / 35
LCM(910,7385) = 192010
Lets's calculate GCF of 889,2485
7 | 889, 2485 |
127, 355 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192010/7
Therefore the LCM of Fractions 910/889,7385/2485 is 27430
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Factors of 2485
List of positive integer factors of 2485 that divides 2485 without a remainder.
1,5,7,35,71,355,497,2485
Greatest Common Factor
We found the factors 889,2485 . The biggest common factor number is the GCF number.
So the greatest common factor 889,2485 is 7.
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 910/889, 7385/2485?
Answer: LCM of Numerators as per given numbers 910/889, 7385/2485 is
LCM of Numerators i.e. for 910,7385 is 192010
GCF of denominators i.e. for 889,2485 is 7.
Thus, LCM of Fractions is 27430.Finally, LCM of Fractions for 910/889, 7385/2485 is 27430.