Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/168, 905/332, 754/214 quickly i.e. 12965030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/168, 905/332, 754/214 is 12965030.
LCM(76/168, 905/332, 754/214) = 12965030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/168,905/332,754/214
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 76,905,754
Least Common Multiple of Numerators i.e. LCM of 76,905,754 is 25930060.
GCF of Denominators means GCF of 168,332,214 as per the given fractions.
GCF of 168,332,214 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,905,754
2 | 76, 905, 754 |
38, 905, 377 |
∴ So the LCM of the given numbers is 2 x 38 x 905 x 377 = 25930060
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 76,905,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,905,754) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(76,905,754) x common factors =1 x 2 = 2
LCM(76,905,754) = ( 76 × 905 × 754 ) / 2
LCM(76,905,754) = 51860120 / 2
LCM(76,905,754) = 25930060
Lets's calculate GCF of 168,332,214
2 | 168, 332, 214 |
84, 166, 107 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25930060/2
Therefore the LCM of Fractions 76/168,905/332,754/214 is 12965030
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Greatest Common Factor
We found the factors 168,332,214 . The biggest common factor number is the GCF number.
So the greatest common factor 168,332,214 is 2.
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 76/168, 905/332, 754/214?
Answer: LCM of Numerators as per given numbers 76/168, 905/332, 754/214 is
LCM of Numerators i.e. for 76,905,754 is 25930060
GCF of denominators i.e. for 168,332,214 is 2.
Thus, LCM of Fractions is 12965030.Finally, LCM of Fractions for 76/168, 905/332, 754/214 is 12965030.