Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/32, 987/56, 692/998 quickly i.e. 341502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/32, 987/56, 692/998 is 341502.
LCM(47/32, 987/56, 692/998) = 341502
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/32,987/56,692/998
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 47,987,692
Least Common Multiple of Numerators i.e. LCM of 47,987,692 is 683004.
GCF of Denominators means GCF of 32,56,998 as per the given fractions.
GCF of 32,56,998 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,987,692
47 | 47, 987, 692 |
1, 21, 692 |
∴ So the LCM of the given numbers is 47 x 1 x 21 x 692 = 683004
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 47,987,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,987,692) = 1
common factors(in case of two or more numbers have common factors) = 47
GCF(47,987,692) x common factors =1 x 47 = 47
LCM(47,987,692) = ( 47 × 987 × 692 ) / 47
LCM(47,987,692) = 32101188 / 47
LCM(47,987,692) = 683004
Lets's calculate GCF of 32,56,998
2 | 32, 56, 998 |
16, 28, 499 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683004/2
Therefore the LCM of Fractions 47/32,987/56,692/998 is 341502
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Greatest Common Factor
We found the factors 32,56,998 . The biggest common factor number is the GCF number.
So the greatest common factor 32,56,998 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 47/32, 987/56, 692/998?
Answer: LCM of Numerators as per given numbers 47/32, 987/56, 692/998 is
LCM of Numerators i.e. for 47,987,692 is 683004
GCF of denominators i.e. for 32,56,998 is 2.
Thus, LCM of Fractions is 341502.Finally, LCM of Fractions for 47/32, 987/56, 692/998 is 341502.