Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 916/61, 274/9248 quickly i.e. 125492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 916/61, 274/9248 is 125492.
LCM(916/61, 274/9248) = 125492
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 916/61,274/9248
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 916,274
Least Common Multiple of Numerators i.e. LCM of 916,274 is 125492.
GCF of Denominators means GCF of 61,9248 as per the given fractions.
GCF of 61,9248 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 916,274
2 | 916, 274 |
458, 137 |
∴ So the LCM of the given numbers is 2 x 458 x 137 = 125492
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 916,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(916,274) x common factors =2 x 1 = 2
LCM(916,274) = ( 916 × 274 ) / 2
LCM(916,274) = 250984 / 2
LCM(916,274) = 125492
Lets's calculate GCF of 61,9248
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125492/1
Therefore the LCM of Fractions 916/61,274/9248 is 125492
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 9248
List of positive integer factors of 9248 that divides 9248 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,289,544,578,1156,2312,4624,9248
Greatest Common Factor
We found the factors 61,9248 . The biggest common factor number is the GCF number.
So the greatest common factor 61,9248 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 916/61, 274/9248?
Answer: LCM of Numerators as per given numbers 916/61, 274/9248 is
LCM of Numerators i.e. for 916,274 is 125492
GCF of denominators i.e. for 61,9248 is 1.
Thus, LCM of Fractions is 125492.Finally, LCM of Fractions for 916/61, 274/9248 is 125492.