Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 332/28, 396/21, 140/833 quickly i.e. 164340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 332/28, 396/21, 140/833 is 164340.
LCM(332/28, 396/21, 140/833) = 164340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 332/28,396/21,140/833
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 332,396,140
Least Common Multiple of Numerators i.e. LCM of 332,396,140 is 1150380.
GCF of Denominators means GCF of 28,21,833 as per the given fractions.
GCF of 28,21,833 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 332,396,140
2 | 332, 396, 140 |
2 | 166, 198, 70 |
83, 99, 35 |
∴ So the LCM of the given numbers is 2 x 2 x 83 x 99 x 35 = 1150380
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 332,396,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,396,140) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(332,396,140) x common factors =4 x 4 = 16
LCM(332,396,140) = ( 332 × 396 × 140 ) / 16
LCM(332,396,140) = 18406080 / 16
LCM(332,396,140) = 1150380
Lets's calculate GCF of 28,21,833
7 | 28, 21, 833 |
4, 3, 119 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1150380/7
Therefore the LCM of Fractions 332/28,396/21,140/833 is 164340
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Greatest Common Factor
We found the factors 28,21,833 . The biggest common factor number is the GCF number.
So the greatest common factor 28,21,833 is 7.
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 332/28, 396/21, 140/833?
Answer: LCM of Numerators as per given numbers 332/28, 396/21, 140/833 is
LCM of Numerators i.e. for 332,396,140 is 1150380
GCF of denominators i.e. for 28,21,833 is 7.
Thus, LCM of Fractions is 164340.Finally, LCM of Fractions for 332/28, 396/21, 140/833 is 164340.