Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 194/442, 7610/771 quickly i.e. 738170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 194/442, 7610/771 is 738170.
LCM(194/442, 7610/771) = 738170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 194/442,7610/771
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 194,7610
Least Common Multiple of Numerators i.e. LCM of 194,7610 is 738170.
GCF of Denominators means GCF of 442,771 as per the given fractions.
GCF of 442,771 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 194,7610
2 | 194, 7610 |
97, 3805 |
∴ So the LCM of the given numbers is 2 x 97 x 3805 = 738170
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 194,7610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,7610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,7610) x common factors =2 x 1 = 2
LCM(194,7610) = ( 194 × 7610 ) / 2
LCM(194,7610) = 1476340 / 2
LCM(194,7610) = 738170
Lets's calculate GCF of 442,771
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 738170/1
Therefore the LCM of Fractions 194/442,7610/771 is 738170
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Greatest Common Factor
We found the factors 442,771 . The biggest common factor number is the GCF number.
So the greatest common factor 442,771 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 194/442, 7610/771?
Answer: LCM of Numerators as per given numbers 194/442, 7610/771 is
LCM of Numerators i.e. for 194,7610 is 738170
GCF of denominators i.e. for 442,771 is 1.
Thus, LCM of Fractions is 738170.Finally, LCM of Fractions for 194/442, 7610/771 is 738170.