Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 144/74, 3871/202 quickly i.e. 278712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 144/74, 3871/202 is 278712.
LCM(144/74, 3871/202) = 278712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 144/74,3871/202
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 144,3871
Least Common Multiple of Numerators i.e. LCM of 144,3871 is 557424.
GCF of Denominators means GCF of 74,202 as per the given fractions.
GCF of 74,202 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 144,3871
Given numbers has no common factors except 1. So, there LCM is their product i.e 557424
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 144,3871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,3871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(144,3871) x common factors =1 x 1 = 1
LCM(144,3871) = ( 144 × 3871 ) / 1
LCM(144,3871) = 557424 / 1
LCM(144,3871) = 557424
Lets's calculate GCF of 74,202
2 | 74, 202 |
37, 101 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 557424/2
Therefore the LCM of Fractions 144/74,3871/202 is 278712
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Greatest Common Factor
We found the factors 74,202 . The biggest common factor number is the GCF number.
So the greatest common factor 74,202 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 144/74, 3871/202?
Answer: LCM of Numerators as per given numbers 144/74, 3871/202 is
LCM of Numerators i.e. for 144,3871 is 557424
GCF of denominators i.e. for 74,202 is 2.
Thus, LCM of Fractions is 278712.Finally, LCM of Fractions for 144/74, 3871/202 is 278712.