Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/94, 61/277, 58/921 quickly i.e. 24766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/94, 61/277, 58/921 is 24766.
LCM(7/94, 61/277, 58/921) = 24766
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/94,61/277,58/921
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 7,61,58
Least Common Multiple of Numerators i.e. LCM of 7,61,58 is 24766.
GCF of Denominators means GCF of 94,277,921 as per the given fractions.
GCF of 94,277,921 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,61,58
Given numbers has no common factors except 1. So, there LCM is their product i.e 24766
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 7,61,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,61,58) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,61,58) x common factors =1 x 1 = 1
LCM(7,61,58) = ( 7 × 61 × 58 ) / 1
LCM(7,61,58) = 24766 / 1
LCM(7,61,58) = 24766
Lets's calculate GCF of 94,277,921
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24766/1
Therefore the LCM of Fractions 7/94,61/277,58/921 is 24766
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Greatest Common Factor
We found the factors 94,277,921 . The biggest common factor number is the GCF number.
So the greatest common factor 94,277,921 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 7/94, 61/277, 58/921?
Answer: LCM of Numerators as per given numbers 7/94, 61/277, 58/921 is
LCM of Numerators i.e. for 7,61,58 is 24766
GCF of denominators i.e. for 94,277,921 is 1.
Thus, LCM of Fractions is 24766.Finally, LCM of Fractions for 7/94, 61/277, 58/921 is 24766.