Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/56, 889/52, 192/132 quickly i.e. 42672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/56, 889/52, 192/132 is 42672.
LCM(84/56, 889/52, 192/132) = 42672
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/56,889/52,192/132
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 84,889,192
Least Common Multiple of Numerators i.e. LCM of 84,889,192 is 170688.
GCF of Denominators means GCF of 56,52,132 as per the given fractions.
GCF of 56,52,132 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,889,192
2 | 84, 889, 192 |
2 | 42, 889, 96 |
3 | 21, 889, 48 |
7 | 7, 889, 16 |
1, 127, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 127 x 16 = 170688
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 84,889,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,889,192) = 1
common factors(in case of two or more numbers have common factors) = 84
GCF(84,889,192) x common factors =1 x 84 = 84
LCM(84,889,192) = ( 84 × 889 × 192 ) / 84
LCM(84,889,192) = 14337792 / 84
LCM(84,889,192) = 170688
Lets's calculate GCF of 56,52,132
2 | 56, 52, 132 |
2 | 28, 26, 66 |
14, 13, 33 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170688/4
Therefore the LCM of Fractions 84/56,889/52,192/132 is 42672
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 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 56,52,132 . The biggest common factor number is the GCF number.
So the greatest common factor 56,52,132 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 84/56, 889/52, 192/132?
Answer: LCM of Numerators as per given numbers 84/56, 889/52, 192/132 is
LCM of Numerators i.e. for 84,889,192 is 170688
GCF of denominators i.e. for 56,52,132 is 4.
Thus, LCM of Fractions is 42672.Finally, LCM of Fractions for 84/56, 889/52, 192/132 is 42672.