Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 334/50, 851/59, 985/103 quickly i.e. 279970490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 334/50, 851/59, 985/103 is 279970490.
LCM(334/50, 851/59, 985/103) = 279970490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 334/50,851/59,985/103
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 334,851,985
Least Common Multiple of Numerators i.e. LCM of 334,851,985 is 279970490.
GCF of Denominators means GCF of 50,59,103 as per the given fractions.
GCF of 50,59,103 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 334,851,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 279970490
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 334,851,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,851,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,851,985) x common factors =1 x 1 = 1
LCM(334,851,985) = ( 334 × 851 × 985 ) / 1
LCM(334,851,985) = 279970490 / 1
LCM(334,851,985) = 279970490
Lets's calculate GCF of 50,59,103
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279970490/1
Therefore the LCM of Fractions 334/50,851/59,985/103 is 279970490
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Greatest Common Factor
We found the factors 50,59,103 . The biggest common factor number is the GCF number.
So the greatest common factor 50,59,103 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 334/50, 851/59, 985/103?
Answer: LCM of Numerators as per given numbers 334/50, 851/59, 985/103 is
LCM of Numerators i.e. for 334,851,985 is 279970490
GCF of denominators i.e. for 50,59,103 is 1.
Thus, LCM of Fractions is 279970490.Finally, LCM of Fractions for 334/50, 851/59, 985/103 is 279970490.