Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/312, 7994/8380 quickly i.e. 375718/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/312, 7994/8380 is 375718/4.
LCM(47/312, 7994/8380) = 375718/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/312,7994/8380
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 47,7994
Least Common Multiple of Numerators i.e. LCM of 47,7994 is 375718.
GCF of Denominators means GCF of 312,8380 as per the given fractions.
GCF of 312,8380 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,7994
Given numbers has no common factors except 1. So, there LCM is their product i.e 375718
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 47,7994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,7994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,7994) x common factors =1 x 1 = 1
LCM(47,7994) = ( 47 × 7994 ) / 1
LCM(47,7994) = 375718 / 1
LCM(47,7994) = 375718
Lets's calculate GCF of 312,8380
2 | 312, 8380 |
2 | 156, 4190 |
78, 2095 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 375718/4
Therefore the LCM of Fractions 47/312,7994/8380 is 375718/4
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Factors of 8380
List of positive integer factors of 8380 that divides 8380 without a remainder.
1,2,4,5,10,20,419,838,1676,2095,4190,8380
Greatest Common Factor
We found the factors 312,8380 . The biggest common factor number is the GCF number.
So the greatest common factor 312,8380 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 47/312, 7994/8380?
Answer: LCM of Numerators as per given numbers 47/312, 7994/8380 is
LCM of Numerators i.e. for 47,7994 is 375718
GCF of denominators i.e. for 312,8380 is 4.
Thus, LCM of Fractions is 375718/4.Finally, LCM of Fractions for 47/312, 7994/8380 is 375718/4.