Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/88, 269/56, 992/297 quickly i.e. 1867936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/88, 269/56, 992/297 is 1867936.
LCM(14/88, 269/56, 992/297) = 1867936
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/88,269/56,992/297
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 14,269,992
Least Common Multiple of Numerators i.e. LCM of 14,269,992 is 1867936.
GCF of Denominators means GCF of 88,56,297 as per the given fractions.
GCF of 88,56,297 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,269,992
2 | 14, 269, 992 |
7, 269, 496 |
∴ So the LCM of the given numbers is 2 x 7 x 269 x 496 = 1867936
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 14,269,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,269,992) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(14,269,992) x common factors =1 x 2 = 2
LCM(14,269,992) = ( 14 × 269 × 992 ) / 2
LCM(14,269,992) = 3735872 / 2
LCM(14,269,992) = 1867936
Lets's calculate GCF of 88,56,297
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1867936/1
Therefore the LCM of Fractions 14/88,269/56,992/297 is 1867936
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
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 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Greatest Common Factor
We found the factors 88,56,297 . The biggest common factor number is the GCF number.
So the greatest common factor 88,56,297 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 14/88, 269/56, 992/297?
Answer: LCM of Numerators as per given numbers 14/88, 269/56, 992/297 is
LCM of Numerators i.e. for 14,269,992 is 1867936
GCF of denominators i.e. for 88,56,297 is 1.
Thus, LCM of Fractions is 1867936.Finally, LCM of Fractions for 14/88, 269/56, 992/297 is 1867936.