Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/84, 478/45, 228/254 quickly i.e. 4195884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/84, 478/45, 228/254 is 4195884.
LCM(77/84, 478/45, 228/254) = 4195884
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/84,478/45,228/254
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 77,478,228
Least Common Multiple of Numerators i.e. LCM of 77,478,228 is 4195884.
GCF of Denominators means GCF of 84,45,254 as per the given fractions.
GCF of 84,45,254 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,478,228
2 | 77, 478, 228 |
77, 239, 114 |
∴ So the LCM of the given numbers is 2 x 77 x 239 x 114 = 4195884
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 77,478,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,478,228) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(77,478,228) x common factors =1 x 2 = 2
LCM(77,478,228) = ( 77 × 478 × 228 ) / 2
LCM(77,478,228) = 8391768 / 2
LCM(77,478,228) = 4195884
Lets's calculate GCF of 84,45,254
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4195884/1
Therefore the LCM of Fractions 77/84,478/45,228/254 is 4195884
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Greatest Common Factor
We found the factors 84,45,254 . The biggest common factor number is the GCF number.
So the greatest common factor 84,45,254 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 77/84, 478/45, 228/254?
Answer: LCM of Numerators as per given numbers 77/84, 478/45, 228/254 is
LCM of Numerators i.e. for 77,478,228 is 4195884
GCF of denominators i.e. for 84,45,254 is 1.
Thus, LCM of Fractions is 4195884.Finally, LCM of Fractions for 77/84, 478/45, 228/254 is 4195884.