Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/793, 65/505, 527/635 quickly i.e. 2603380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/793, 65/505, 527/635 is 2603380.
LCM(76/793, 65/505, 527/635) = 2603380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/793,65/505,527/635
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 76,65,527
Least Common Multiple of Numerators i.e. LCM of 76,65,527 is 2603380.
GCF of Denominators means GCF of 793,505,635 as per the given fractions.
GCF of 793,505,635 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,65,527
Given numbers has no common factors except 1. So, there LCM is their product i.e 2603380
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 76,65,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,65,527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,65,527) x common factors =1 x 1 = 1
LCM(76,65,527) = ( 76 × 65 × 527 ) / 1
LCM(76,65,527) = 2603380 / 1
LCM(76,65,527) = 2603380
Lets's calculate GCF of 793,505,635
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2603380/1
Therefore the LCM of Fractions 76/793,65/505,527/635 is 2603380
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Greatest Common Factor
We found the factors 793,505,635 . The biggest common factor number is the GCF number.
So the greatest common factor 793,505,635 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 76/793, 65/505, 527/635?
Answer: LCM of Numerators as per given numbers 76/793, 65/505, 527/635 is
LCM of Numerators i.e. for 76,65,527 is 2603380
GCF of denominators i.e. for 793,505,635 is 1.
Thus, LCM of Fractions is 2603380.Finally, LCM of Fractions for 76/793, 65/505, 527/635 is 2603380.