Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 381/985, 851/609, 710/181 quickly i.e. 230204010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 381/985, 851/609, 710/181 is 230204010.
LCM(381/985, 851/609, 710/181) = 230204010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 381/985,851/609,710/181
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 381,851,710
Least Common Multiple of Numerators i.e. LCM of 381,851,710 is 230204010.
GCF of Denominators means GCF of 985,609,181 as per the given fractions.
GCF of 985,609,181 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 381,851,710
Given numbers has no common factors except 1. So, there LCM is their product i.e 230204010
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 381,851,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,851,710) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,851,710) x common factors =1 x 1 = 1
LCM(381,851,710) = ( 381 × 851 × 710 ) / 1
LCM(381,851,710) = 230204010 / 1
LCM(381,851,710) = 230204010
Lets's calculate GCF of 985,609,181
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230204010/1
Therefore the LCM of Fractions 381/985,851/609,710/181 is 230204010
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Greatest Common Factor
We found the factors 985,609,181 . The biggest common factor number is the GCF number.
So the greatest common factor 985,609,181 is 1.
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 381/985, 851/609, 710/181?
Answer: LCM of Numerators as per given numbers 381/985, 851/609, 710/181 is
LCM of Numerators i.e. for 381,851,710 is 230204010
GCF of denominators i.e. for 985,609,181 is 1.
Thus, LCM of Fractions is 230204010.Finally, LCM of Fractions for 381/985, 851/609, 710/181 is 230204010.