Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/420, 3161/5276 quickly i.e. 246558/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/420, 3161/5276 is 246558/4.
LCM(78/420, 3161/5276) = 246558/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/420,3161/5276
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 78,3161
Least Common Multiple of Numerators i.e. LCM of 78,3161 is 246558.
GCF of Denominators means GCF of 420,5276 as per the given fractions.
GCF of 420,5276 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,3161
Given numbers has no common factors except 1. So, there LCM is their product i.e 246558
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 78,3161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,3161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,3161) x common factors =1 x 1 = 1
LCM(78,3161) = ( 78 × 3161 ) / 1
LCM(78,3161) = 246558 / 1
LCM(78,3161) = 246558
Lets's calculate GCF of 420,5276
2 | 420, 5276 |
2 | 210, 2638 |
105, 1319 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246558/4
Therefore the LCM of Fractions 78/420,3161/5276 is 246558/4
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 5276
List of positive integer factors of 5276 that divides 5276 without a remainder.
1,2,4,1319,2638,5276
Greatest Common Factor
We found the factors 420,5276 . The biggest common factor number is the GCF number.
So the greatest common factor 420,5276 is 4.
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 78/420, 3161/5276?
Answer: LCM of Numerators as per given numbers 78/420, 3161/5276 is
LCM of Numerators i.e. for 78,3161 is 246558
GCF of denominators i.e. for 420,5276 is 4.
Thus, LCM of Fractions is 246558/4.Finally, LCM of Fractions for 78/420, 3161/5276 is 246558/4.