Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/754, 379/942, 188/985 quickly i.e. 4631380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/754, 379/942, 188/985 is 4631380.
LCM(65/754, 379/942, 188/985) = 4631380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/754,379/942,188/985
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 65,379,188
Least Common Multiple of Numerators i.e. LCM of 65,379,188 is 4631380.
GCF of Denominators means GCF of 754,942,985 as per the given fractions.
GCF of 754,942,985 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,379,188
Given numbers has no common factors except 1. So, there LCM is their product i.e 4631380
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 65,379,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,379,188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,379,188) x common factors =1 x 1 = 1
LCM(65,379,188) = ( 65 × 379 × 188 ) / 1
LCM(65,379,188) = 4631380 / 1
LCM(65,379,188) = 4631380
Lets's calculate GCF of 754,942,985
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4631380/1
Therefore the LCM of Fractions 65/754,379/942,188/985 is 4631380
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Greatest Common Factor
We found the factors 754,942,985 . The biggest common factor number is the GCF number.
So the greatest common factor 754,942,985 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 65/754, 379/942, 188/985?
Answer: LCM of Numerators as per given numbers 65/754, 379/942, 188/985 is
LCM of Numerators i.e. for 65,379,188 is 4631380
GCF of denominators i.e. for 754,942,985 is 1.
Thus, LCM of Fractions is 4631380.Finally, LCM of Fractions for 65/754, 379/942, 188/985 is 4631380.