Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/773, 65/785, 911/123 quickly i.e. 2842320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/773, 65/785, 911/123 is 2842320.
LCM(48/773, 65/785, 911/123) = 2842320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/773,65/785,911/123
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 48,65,911
Least Common Multiple of Numerators i.e. LCM of 48,65,911 is 2842320.
GCF of Denominators means GCF of 773,785,123 as per the given fractions.
GCF of 773,785,123 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,65,911
Given numbers has no common factors except 1. So, there LCM is their product i.e 2842320
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 48,65,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,65,911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(48,65,911) x common factors =1 x 1 = 1
LCM(48,65,911) = ( 48 × 65 × 911 ) / 1
LCM(48,65,911) = 2842320 / 1
LCM(48,65,911) = 2842320
Lets's calculate GCF of 773,785,123
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2842320/1
Therefore the LCM of Fractions 48/773,65/785,911/123 is 2842320
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors 773,785,123 . The biggest common factor number is the GCF number.
So the greatest common factor 773,785,123 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 48/773, 65/785, 911/123?
Answer: LCM of Numerators as per given numbers 48/773, 65/785, 911/123 is
LCM of Numerators i.e. for 48,65,911 is 2842320
GCF of denominators i.e. for 773,785,123 is 1.
Thus, LCM of Fractions is 2842320.Finally, LCM of Fractions for 48/773, 65/785, 911/123 is 2842320.