Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1972/761, 3161/9234 quickly i.e. 214948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1972/761, 3161/9234 is 214948.
LCM(1972/761, 3161/9234) = 214948
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1972/761,3161/9234
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 1972,3161
Least Common Multiple of Numerators i.e. LCM of 1972,3161 is 214948.
GCF of Denominators means GCF of 761,9234 as per the given fractions.
GCF of 761,9234 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1972,3161
29 | 1972, 3161 |
68, 109 |
∴ So the LCM of the given numbers is 29 x 68 x 109 = 214948
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 1972,3161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1972,3161) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(1972,3161) x common factors =29 x 1 = 29
LCM(1972,3161) = ( 1972 × 3161 ) / 29
LCM(1972,3161) = 6233492 / 29
LCM(1972,3161) = 214948
Lets's calculate GCF of 761,9234
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214948/1
Therefore the LCM of Fractions 1972/761,3161/9234 is 214948
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Factors of 9234
List of positive integer factors of 9234 that divides 9234 without a remainder.
1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,243,342,486,513,1026,1539,3078,4617,9234
Greatest Common Factor
We found the factors 761,9234 . The biggest common factor number is the GCF number.
So the greatest common factor 761,9234 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 1972/761, 3161/9234?
Answer: LCM of Numerators as per given numbers 1972/761, 3161/9234 is
LCM of Numerators i.e. for 1972,3161 is 214948
GCF of denominators i.e. for 761,9234 is 1.
Thus, LCM of Fractions is 214948.Finally, LCM of Fractions for 1972/761, 3161/9234 is 214948.