Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 894/92, 151/20, 902/306 quickly i.e. 30441147 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 894/92, 151/20, 902/306 is 30441147.
LCM(894/92, 151/20, 902/306) = 30441147
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 894/92,151/20,902/306
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 894,151,902
Least Common Multiple of Numerators i.e. LCM of 894,151,902 is 60882294.
GCF of Denominators means GCF of 92,20,306 as per the given fractions.
GCF of 92,20,306 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 894,151,902
2 | 894, 151, 902 |
447, 151, 451 |
∴ So the LCM of the given numbers is 2 x 447 x 151 x 451 = 60882294
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 894,151,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,151,902) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(894,151,902) x common factors =1 x 2 = 2
LCM(894,151,902) = ( 894 × 151 × 902 ) / 2
LCM(894,151,902) = 121764588 / 2
LCM(894,151,902) = 60882294
Lets's calculate GCF of 92,20,306
2 | 92, 20, 306 |
46, 10, 153 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60882294/2
Therefore the LCM of Fractions 894/92,151/20,902/306 is 30441147
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Greatest Common Factor
We found the factors 92,20,306 . The biggest common factor number is the GCF number.
So the greatest common factor 92,20,306 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 894/92, 151/20, 902/306?
Answer: LCM of Numerators as per given numbers 894/92, 151/20, 902/306 is
LCM of Numerators i.e. for 894,151,902 is 60882294
GCF of denominators i.e. for 92,20,306 is 2.
Thus, LCM of Fractions is 30441147.Finally, LCM of Fractions for 894/92, 151/20, 902/306 is 30441147.