Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/23, 97/70, 392/112 quickly i.e. 1787128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/23, 97/70, 392/112 is 1787128.
LCM(47/23, 97/70, 392/112) = 1787128
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/23,97/70,392/112
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 47,97,392
Least Common Multiple of Numerators i.e. LCM of 47,97,392 is 1787128.
GCF of Denominators means GCF of 23,70,112 as per the given fractions.
GCF of 23,70,112 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,97,392
Given numbers has no common factors except 1. So, there LCM is their product i.e 1787128
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 47,97,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,97,392) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,97,392) x common factors =1 x 1 = 1
LCM(47,97,392) = ( 47 × 97 × 392 ) / 1
LCM(47,97,392) = 1787128 / 1
LCM(47,97,392) = 1787128
Lets's calculate GCF of 23,70,112
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1787128/1
Therefore the LCM of Fractions 47/23,97/70,392/112 is 1787128
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 23,70,112 . The biggest common factor number is the GCF number.
So the greatest common factor 23,70,112 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 47/23, 97/70, 392/112?
Answer: LCM of Numerators as per given numbers 47/23, 97/70, 392/112 is
LCM of Numerators i.e. for 47,97,392 is 1787128
GCF of denominators i.e. for 23,70,112 is 1.
Thus, LCM of Fractions is 1787128.Finally, LCM of Fractions for 47/23, 97/70, 392/112 is 1787128.