Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 277/998, 4126/6184 quickly i.e. 571451 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 277/998, 4126/6184 is 571451.
LCM(277/998, 4126/6184) = 571451
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 277/998,4126/6184
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 277,4126
Least Common Multiple of Numerators i.e. LCM of 277,4126 is 1142902.
GCF of Denominators means GCF of 998,6184 as per the given fractions.
GCF of 998,6184 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 277,4126
Given numbers has no common factors except 1. So, there LCM is their product i.e 1142902
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 277,4126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,4126) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,4126) x common factors =1 x 1 = 1
LCM(277,4126) = ( 277 × 4126 ) / 1
LCM(277,4126) = 1142902 / 1
LCM(277,4126) = 1142902
Lets's calculate GCF of 998,6184
2 | 998, 6184 |
499, 3092 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1142902/2
Therefore the LCM of Fractions 277/998,4126/6184 is 571451
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Factors of 6184
List of positive integer factors of 6184 that divides 6184 without a remainder.
1,2,4,8,773,1546,3092,6184
Greatest Common Factor
We found the factors 998,6184 . The biggest common factor number is the GCF number.
So the greatest common factor 998,6184 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 277/998, 4126/6184?
Answer: LCM of Numerators as per given numbers 277/998, 4126/6184 is
LCM of Numerators i.e. for 277,4126 is 1142902
GCF of denominators i.e. for 998,6184 is 2.
Thus, LCM of Fractions is 571451.Finally, LCM of Fractions for 277/998, 4126/6184 is 571451.