Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4950/536, 7198/3753 quickly i.e. 17815050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4950/536, 7198/3753 is 17815050.
LCM(4950/536, 7198/3753) = 17815050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4950/536,7198/3753
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 4950,7198
Least Common Multiple of Numerators i.e. LCM of 4950,7198 is 17815050.
GCF of Denominators means GCF of 536,3753 as per the given fractions.
GCF of 536,3753 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4950,7198
2 | 4950, 7198 |
2475, 3599 |
∴ So the LCM of the given numbers is 2 x 2475 x 3599 = 17815050
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 4950,7198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4950,7198) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4950,7198) x common factors =2 x 1 = 2
LCM(4950,7198) = ( 4950 × 7198 ) / 2
LCM(4950,7198) = 35630100 / 2
LCM(4950,7198) = 17815050
Lets's calculate GCF of 536,3753
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17815050/1
Therefore the LCM of Fractions 4950/536,7198/3753 is 17815050
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 3753
List of positive integer factors of 3753 that divides 3753 without a remainder.
1,3,9,27,139,417,1251,3753
Greatest Common Factor
We found the factors 536,3753 . The biggest common factor number is the GCF number.
So the greatest common factor 536,3753 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 4950/536, 7198/3753?
Answer: LCM of Numerators as per given numbers 4950/536, 7198/3753 is
LCM of Numerators i.e. for 4950,7198 is 17815050
GCF of denominators i.e. for 536,3753 is 1.
Thus, LCM of Fractions is 17815050.Finally, LCM of Fractions for 4950/536, 7198/3753 is 17815050.