Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1777/202, 9949/5350 quickly i.e. 17679373/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1777/202, 9949/5350 is 17679373/2.
LCM(1777/202, 9949/5350) = 17679373/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1777/202,9949/5350
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 1777,9949
Least Common Multiple of Numerators i.e. LCM of 1777,9949 is 17679373.
GCF of Denominators means GCF of 202,5350 as per the given fractions.
GCF of 202,5350 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1777,9949
Given numbers has no common factors except 1. So, there LCM is their product i.e 17679373
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 1777,9949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1777,9949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1777,9949) x common factors =1 x 1 = 1
LCM(1777,9949) = ( 1777 × 9949 ) / 1
LCM(1777,9949) = 17679373 / 1
LCM(1777,9949) = 17679373
Lets's calculate GCF of 202,5350
2 | 202, 5350 |
101, 2675 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17679373/2
Therefore the LCM of Fractions 1777/202,9949/5350 is 17679373/2
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 5350
List of positive integer factors of 5350 that divides 5350 without a remainder.
1,2,5,10,25,50,107,214,535,1070,2675,5350
Greatest Common Factor
We found the factors 202,5350 . The biggest common factor number is the GCF number.
So the greatest common factor 202,5350 is 2.
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 1777/202, 9949/5350?
Answer: LCM of Numerators as per given numbers 1777/202, 9949/5350 is
LCM of Numerators i.e. for 1777,9949 is 17679373
GCF of denominators i.e. for 202,5350 is 2.
Thus, LCM of Fractions is 17679373/2.Finally, LCM of Fractions for 1777/202, 9949/5350 is 17679373/2.