Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 127/996, 7448/9104 quickly i.e. 236474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 127/996, 7448/9104 is 236474.
LCM(127/996, 7448/9104) = 236474
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 127/996,7448/9104
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 127,7448
Least Common Multiple of Numerators i.e. LCM of 127,7448 is 945896.
GCF of Denominators means GCF of 996,9104 as per the given fractions.
GCF of 996,9104 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 127,7448
Given numbers has no common factors except 1. So, there LCM is their product i.e 945896
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 127,7448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,7448) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,7448) x common factors =1 x 1 = 1
LCM(127,7448) = ( 127 × 7448 ) / 1
LCM(127,7448) = 945896 / 1
LCM(127,7448) = 945896
Lets's calculate GCF of 996,9104
2 | 996, 9104 |
2 | 498, 4552 |
249, 2276 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 945896/4
Therefore the LCM of Fractions 127/996,7448/9104 is 236474
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 9104
List of positive integer factors of 9104 that divides 9104 without a remainder.
1,2,4,8,16,569,1138,2276,4552,9104
Greatest Common Factor
We found the factors 996,9104 . The biggest common factor number is the GCF number.
So the greatest common factor 996,9104 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 127/996, 7448/9104?
Answer: LCM of Numerators as per given numbers 127/996, 7448/9104 is
LCM of Numerators i.e. for 127,7448 is 945896
GCF of denominators i.e. for 996,9104 is 4.
Thus, LCM of Fractions is 236474.Finally, LCM of Fractions for 127/996, 7448/9104 is 236474.