Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 743/918, 589/121, 922/210 quickly i.e. 403492094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 743/918, 589/121, 922/210 is 403492094.
LCM(743/918, 589/121, 922/210) = 403492094
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 743/918,589/121,922/210
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 743,589,922
Least Common Multiple of Numerators i.e. LCM of 743,589,922 is 403492094.
GCF of Denominators means GCF of 918,121,210 as per the given fractions.
GCF of 918,121,210 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 743,589,922
Given numbers has no common factors except 1. So, there LCM is their product i.e 403492094
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 743,589,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,589,922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,589,922) x common factors =1 x 1 = 1
LCM(743,589,922) = ( 743 × 589 × 922 ) / 1
LCM(743,589,922) = 403492094 / 1
LCM(743,589,922) = 403492094
Lets's calculate GCF of 918,121,210
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403492094/1
Therefore the LCM of Fractions 743/918,589/121,922/210 is 403492094
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 918,121,210 . The biggest common factor number is the GCF number.
So the greatest common factor 918,121,210 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 743/918, 589/121, 922/210?
Answer: LCM of Numerators as per given numbers 743/918, 589/121, 922/210 is
LCM of Numerators i.e. for 743,589,922 is 403492094
GCF of denominators i.e. for 918,121,210 is 1.
Thus, LCM of Fractions is 403492094.Finally, LCM of Fractions for 743/918, 589/121, 922/210 is 403492094.