Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 953/104, 587/521, 380/277 quickly i.e. 212576180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 953/104, 587/521, 380/277 is 212576180.
LCM(953/104, 587/521, 380/277) = 212576180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 953/104,587/521,380/277
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 953,587,380
Least Common Multiple of Numerators i.e. LCM of 953,587,380 is 212576180.
GCF of Denominators means GCF of 104,521,277 as per the given fractions.
GCF of 104,521,277 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 953,587,380
Given numbers has no common factors except 1. So, there LCM is their product i.e 212576180
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 953,587,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,587,380) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,587,380) x common factors =1 x 1 = 1
LCM(953,587,380) = ( 953 × 587 × 380 ) / 1
LCM(953,587,380) = 212576180 / 1
LCM(953,587,380) = 212576180
Lets's calculate GCF of 104,521,277
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212576180/1
Therefore the LCM of Fractions 953/104,587/521,380/277 is 212576180
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Greatest Common Factor
We found the factors 104,521,277 . The biggest common factor number is the GCF number.
So the greatest common factor 104,521,277 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 953/104, 587/521, 380/277?
Answer: LCM of Numerators as per given numbers 953/104, 587/521, 380/277 is
LCM of Numerators i.e. for 953,587,380 is 212576180
GCF of denominators i.e. for 104,521,277 is 1.
Thus, LCM of Fractions is 212576180.Finally, LCM of Fractions for 953/104, 587/521, 380/277 is 212576180.