Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/711, 89/932, 967/355 quickly i.e. 7315355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/711, 89/932, 967/355 is 7315355.
LCM(85/711, 89/932, 967/355) = 7315355
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/711,89/932,967/355
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 85,89,967
Least Common Multiple of Numerators i.e. LCM of 85,89,967 is 7315355.
GCF of Denominators means GCF of 711,932,355 as per the given fractions.
GCF of 711,932,355 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,89,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 7315355
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 85,89,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,89,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,89,967) x common factors =1 x 1 = 1
LCM(85,89,967) = ( 85 × 89 × 967 ) / 1
LCM(85,89,967) = 7315355 / 1
LCM(85,89,967) = 7315355
Lets's calculate GCF of 711,932,355
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7315355/1
Therefore the LCM of Fractions 85/711,89/932,967/355 is 7315355
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Greatest Common Factor
We found the factors 711,932,355 . The biggest common factor number is the GCF number.
So the greatest common factor 711,932,355 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 85/711, 89/932, 967/355?
Answer: LCM of Numerators as per given numbers 85/711, 89/932, 967/355 is
LCM of Numerators i.e. for 85,89,967 is 7315355
GCF of denominators i.e. for 711,932,355 is 1.
Thus, LCM of Fractions is 7315355.Finally, LCM of Fractions for 85/711, 89/932, 967/355 is 7315355.