Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1754/191, 7138/649 quickly i.e. 6260026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1754/191, 7138/649 is 6260026.
LCM(1754/191, 7138/649) = 6260026
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1754/191,7138/649
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 1754,7138
Least Common Multiple of Numerators i.e. LCM of 1754,7138 is 6260026.
GCF of Denominators means GCF of 191,649 as per the given fractions.
GCF of 191,649 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1754,7138
2 | 1754, 7138 |
877, 3569 |
∴ So the LCM of the given numbers is 2 x 877 x 3569 = 6260026
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 1754,7138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1754,7138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1754,7138) x common factors =2 x 1 = 2
LCM(1754,7138) = ( 1754 × 7138 ) / 2
LCM(1754,7138) = 12520052 / 2
LCM(1754,7138) = 6260026
Lets's calculate GCF of 191,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6260026/1
Therefore the LCM of Fractions 1754/191,7138/649 is 6260026
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1,191
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 191,649 . The biggest common factor number is the GCF number.
So the greatest common factor 191,649 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 1754/191, 7138/649?
Answer: LCM of Numerators as per given numbers 1754/191, 7138/649 is
LCM of Numerators i.e. for 1754,7138 is 6260026
GCF of denominators i.e. for 191,649 is 1.
Thus, LCM of Fractions is 6260026.Finally, LCM of Fractions for 1754/191, 7138/649 is 6260026.