Least Common Multiple of 119/965, 5761/152
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 119/965, 5761/152 quickly i.e. 97937 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 119/965, 5761/152 is 97937.
LCM(119/965, 5761/152) = 97937
LCM of 119/965, 5761/152
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 119/965,5761/152
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 119,5761
Least Common Multiple of Numerators i.e. LCM of 119,5761 is 97937.
GCF of Denominators means GCF of 965,152 as per the given fractions.
GCF of 965,152 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 119,5761
LCM of Fractions 119/965,5761/152 is 97937
| 7 | 119, 5761 |
| 17, 823 |
∴ So the LCM of the given numbers is 7 x 17 x 823 = 97937
Least Common Multiple of 119,5761 with GCF Formula
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 119,5761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,5761) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(119,5761) x common factors =7 x 1 = 7
LCM(119,5761) = ( 119 × 5761 ) / 7
LCM(119,5761) = 685559 / 7
LCM(119,5761) = 97937
Lets's calculate GCF of 965,152
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97937/1
Therefore the LCM of Fractions 119/965,5761/152 is 97937
