Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2474/118, 3654/485 quickly i.e. 4519998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2474/118, 3654/485 is 4519998.
LCM(2474/118, 3654/485) = 4519998
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2474/118,3654/485
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 2474,3654
Least Common Multiple of Numerators i.e. LCM of 2474,3654 is 4519998.
GCF of Denominators means GCF of 118,485 as per the given fractions.
GCF of 118,485 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2474,3654
2 | 2474, 3654 |
1237, 1827 |
∴ So the LCM of the given numbers is 2 x 1237 x 1827 = 4519998
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 2474,3654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2474,3654) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2474,3654) x common factors =2 x 1 = 2
LCM(2474,3654) = ( 2474 × 3654 ) / 2
LCM(2474,3654) = 9039996 / 2
LCM(2474,3654) = 4519998
Lets's calculate GCF of 118,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4519998/1
Therefore the LCM of Fractions 2474/118,3654/485 is 4519998
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 118,485 . The biggest common factor number is the GCF number.
So the greatest common factor 118,485 is 1.
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 2474/118, 3654/485?
Answer: LCM of Numerators as per given numbers 2474/118, 3654/485 is
LCM of Numerators i.e. for 2474,3654 is 4519998
GCF of denominators i.e. for 118,485 is 1.
Thus, LCM of Fractions is 4519998.Finally, LCM of Fractions for 2474/118, 3654/485 is 4519998.