Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/25, 69/921, 43/376 quickly i.e. 14835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/25, 69/921, 43/376 is 14835.
LCM(5/25, 69/921, 43/376) = 14835
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/25,69/921,43/376
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 5,69,43
Least Common Multiple of Numerators i.e. LCM of 5,69,43 is 14835.
GCF of Denominators means GCF of 25,921,376 as per the given fractions.
GCF of 25,921,376 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,69,43
Given numbers has no common factors except 1. So, there LCM is their product i.e 14835
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 5,69,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,69,43) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,69,43) x common factors =1 x 1 = 1
LCM(5,69,43) = ( 5 × 69 × 43 ) / 1
LCM(5,69,43) = 14835 / 1
LCM(5,69,43) = 14835
Lets's calculate GCF of 25,921,376
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14835/1
Therefore the LCM of Fractions 5/25,69/921,43/376 is 14835
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 25,921,376 . The biggest common factor number is the GCF number.
So the greatest common factor 25,921,376 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 5/25, 69/921, 43/376?
Answer: LCM of Numerators as per given numbers 5/25, 69/921, 43/376 is
LCM of Numerators i.e. for 5,69,43 is 14835
GCF of denominators i.e. for 25,921,376 is 1.
Thus, LCM of Fractions is 14835.Finally, LCM of Fractions for 5/25, 69/921, 43/376 is 14835.