Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 385/63, 211/97, 284/829 quickly i.e. 23070740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 385/63, 211/97, 284/829 is 23070740.
LCM(385/63, 211/97, 284/829) = 23070740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 385/63,211/97,284/829
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 385,211,284
Least Common Multiple of Numerators i.e. LCM of 385,211,284 is 23070740.
GCF of Denominators means GCF of 63,97,829 as per the given fractions.
GCF of 63,97,829 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 385,211,284
Given numbers has no common factors except 1. So, there LCM is their product i.e 23070740
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 385,211,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,211,284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,211,284) x common factors =1 x 1 = 1
LCM(385,211,284) = ( 385 × 211 × 284 ) / 1
LCM(385,211,284) = 23070740 / 1
LCM(385,211,284) = 23070740
Lets's calculate GCF of 63,97,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23070740/1
Therefore the LCM of Fractions 385/63,211/97,284/829 is 23070740
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Greatest Common Factor
We found the factors 63,97,829 . The biggest common factor number is the GCF number.
So the greatest common factor 63,97,829 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 385/63, 211/97, 284/829?
Answer: LCM of Numerators as per given numbers 385/63, 211/97, 284/829 is
LCM of Numerators i.e. for 385,211,284 is 23070740
GCF of denominators i.e. for 63,97,829 is 1.
Thus, LCM of Fractions is 23070740.Finally, LCM of Fractions for 385/63, 211/97, 284/829 is 23070740.