Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/853, 63/796, 411/751 quickly i.e. 276192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/853, 63/796, 411/751 is 276192.
LCM(96/853, 63/796, 411/751) = 276192
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/853,63/796,411/751
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 96,63,411
Least Common Multiple of Numerators i.e. LCM of 96,63,411 is 276192.
GCF of Denominators means GCF of 853,796,751 as per the given fractions.
GCF of 853,796,751 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,63,411
3 | 96, 63, 411 |
32, 21, 137 |
∴ So the LCM of the given numbers is 3 x 32 x 21 x 137 = 276192
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 96,63,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,63,411) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(96,63,411) x common factors =3 x 3 = 9
LCM(96,63,411) = ( 96 × 63 × 411 ) / 9
LCM(96,63,411) = 2485728 / 9
LCM(96,63,411) = 276192
Lets's calculate GCF of 853,796,751
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276192/1
Therefore the LCM of Fractions 96/853,63/796,411/751 is 276192
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Greatest Common Factor
We found the factors 853,796,751 . The biggest common factor number is the GCF number.
So the greatest common factor 853,796,751 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 96/853, 63/796, 411/751?
Answer: LCM of Numerators as per given numbers 96/853, 63/796, 411/751 is
LCM of Numerators i.e. for 96,63,411 is 276192
GCF of denominators i.e. for 853,796,751 is 1.
Thus, LCM of Fractions is 276192.Finally, LCM of Fractions for 96/853, 63/796, 411/751 is 276192.