Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/437, 3123/8764 quickly i.e. 237348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/437, 3123/8764 is 237348.
LCM(76/437, 3123/8764) = 237348
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/437,3123/8764
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 76,3123
Least Common Multiple of Numerators i.e. LCM of 76,3123 is 237348.
GCF of Denominators means GCF of 437,8764 as per the given fractions.
GCF of 437,8764 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,3123
Given numbers has no common factors except 1. So, there LCM is their product i.e 237348
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 76,3123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,3123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,3123) x common factors =1 x 1 = 1
LCM(76,3123) = ( 76 × 3123 ) / 1
LCM(76,3123) = 237348 / 1
LCM(76,3123) = 237348
Lets's calculate GCF of 437,8764
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237348/1
Therefore the LCM of Fractions 76/437,3123/8764 is 237348
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Factors of 8764
List of positive integer factors of 8764 that divides 8764 without a remainder.
1,2,4,7,14,28,313,626,1252,2191,4382,8764
Greatest Common Factor
We found the factors 437,8764 . The biggest common factor number is the GCF number.
So the greatest common factor 437,8764 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 76/437, 3123/8764?
Answer: LCM of Numerators as per given numbers 76/437, 3123/8764 is
LCM of Numerators i.e. for 76,3123 is 237348
GCF of denominators i.e. for 437,8764 is 1.
Thus, LCM of Fractions is 237348.Finally, LCM of Fractions for 76/437, 3123/8764 is 237348.