Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1216/177, 2405/548 quickly i.e. 2924480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1216/177, 2405/548 is 2924480.
LCM(1216/177, 2405/548) = 2924480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1216/177,2405/548
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 1216,2405
Least Common Multiple of Numerators i.e. LCM of 1216,2405 is 2924480.
GCF of Denominators means GCF of 177,548 as per the given fractions.
GCF of 177,548 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1216,2405
Given numbers has no common factors except 1. So, there LCM is their product i.e 2924480
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 1216,2405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1216,2405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1216,2405) x common factors =1 x 1 = 1
LCM(1216,2405) = ( 1216 × 2405 ) / 1
LCM(1216,2405) = 2924480 / 1
LCM(1216,2405) = 2924480
Lets's calculate GCF of 177,548
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2924480/1
Therefore the LCM of Fractions 1216/177,2405/548 is 2924480
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Greatest Common Factor
We found the factors 177,548 . The biggest common factor number is the GCF number.
So the greatest common factor 177,548 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 1216/177, 2405/548?
Answer: LCM of Numerators as per given numbers 1216/177, 2405/548 is
LCM of Numerators i.e. for 1216,2405 is 2924480
GCF of denominators i.e. for 177,548 is 1.
Thus, LCM of Fractions is 2924480.Finally, LCM of Fractions for 1216/177, 2405/548 is 2924480.