Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/427, 89/548, 836/874 quickly i.e. 1785696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/427, 89/548, 836/874 is 1785696.
LCM(96/427, 89/548, 836/874) = 1785696
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/427,89/548,836/874
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 96,89,836
Least Common Multiple of Numerators i.e. LCM of 96,89,836 is 1785696.
GCF of Denominators means GCF of 427,548,874 as per the given fractions.
GCF of 427,548,874 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,89,836
2 | 96, 89, 836 |
2 | 48, 89, 418 |
24, 89, 209 |
∴ So the LCM of the given numbers is 2 x 2 x 24 x 89 x 209 = 1785696
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 96,89,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,89,836) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(96,89,836) x common factors =1 x 4 = 4
LCM(96,89,836) = ( 96 × 89 × 836 ) / 4
LCM(96,89,836) = 7142784 / 4
LCM(96,89,836) = 1785696
Lets's calculate GCF of 427,548,874
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1785696/1
Therefore the LCM of Fractions 96/427,89/548,836/874 is 1785696
Factors of 427
List of positive integer factors of 427 that divides 427 without a remainder.
1,7,61,427
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 427,548,874 . The biggest common factor number is the GCF number.
So the greatest common factor 427,548,874 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 96/427, 89/548, 836/874?
Answer: LCM of Numerators as per given numbers 96/427, 89/548, 836/874 is
LCM of Numerators i.e. for 96,89,836 is 1785696
GCF of denominators i.e. for 427,548,874 is 1.
Thus, LCM of Fractions is 1785696.Finally, LCM of Fractions for 96/427, 89/548, 836/874 is 1785696.