Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/976, 14/549 quickly i.e. 1302/61 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/976, 14/549 is 1302/61.
LCM(93/976, 14/549) = 1302/61
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/976,14/549
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 93,14
Least Common Multiple of Numerators i.e. LCM of 93,14 is 1302.
GCF of Denominators means GCF of 976,549 as per the given fractions.
GCF of 976,549 is 61 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,14
Given numbers has no common factors except 1. So, there LCM is their product i.e 1302
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 93,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,14) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,14) x common factors =1 x 1 = 1
LCM(93,14) = ( 93 × 14 ) / 1
LCM(93,14) = 1302 / 1
LCM(93,14) = 1302
Lets's calculate GCF of 976,549
61 | 976, 549 |
16, 9 |
∴ So the GCF of the given numbers is 61 = 61
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1302/61
Therefore the LCM of Fractions 93/976,14/549 is 1302/61
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 976,549 . The biggest common factor number is the GCF number.
So the greatest common factor 976,549 is 61.
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 93/976, 14/549?
Answer: LCM of Numerators as per given numbers 93/976, 14/549 is
LCM of Numerators i.e. for 93,14 is 1302
GCF of denominators i.e. for 976,549 is 61.
Thus, LCM of Fractions is 1302/61.Finally, LCM of Fractions for 93/976, 14/549 is 1302/61.