Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 955/978, 236/975, 119/894 quickly i.e. 26820220/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 955/978, 236/975, 119/894 is 26820220/3.
LCM(955/978, 236/975, 119/894) = 26820220/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 955/978,236/975,119/894
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 955,236,119
Least Common Multiple of Numerators i.e. LCM of 955,236,119 is 26820220.
GCF of Denominators means GCF of 978,975,894 as per the given fractions.
GCF of 978,975,894 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 955,236,119
Given numbers has no common factors except 1. So, there LCM is their product i.e 26820220
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 955,236,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,236,119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,236,119) x common factors =1 x 1 = 1
LCM(955,236,119) = ( 955 × 236 × 119 ) / 1
LCM(955,236,119) = 26820220 / 1
LCM(955,236,119) = 26820220
Lets's calculate GCF of 978,975,894
3 | 978, 975, 894 |
326, 325, 298 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26820220/3
Therefore the LCM of Fractions 955/978,236/975,119/894 is 26820220/3
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 975
List of positive integer factors of 975 that divides 975 without a remainder.
1,3,5,13,15,25,39,65,75,195,325,975
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Greatest Common Factor
We found the factors 978,975,894 . The biggest common factor number is the GCF number.
So the greatest common factor 978,975,894 is 3.
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 955/978, 236/975, 119/894?
Answer: LCM of Numerators as per given numbers 955/978, 236/975, 119/894 is
LCM of Numerators i.e. for 955,236,119 is 26820220
GCF of denominators i.e. for 978,975,894 is 3.
Thus, LCM of Fractions is 26820220/3.Finally, LCM of Fractions for 955/978, 236/975, 119/894 is 26820220/3.