Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/652, 77/138, 888/121 quickly i.e. 273504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/652, 77/138, 888/121 is 273504.
LCM(96/652, 77/138, 888/121) = 273504
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/652,77/138,888/121
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 96,77,888
Least Common Multiple of Numerators i.e. LCM of 96,77,888 is 273504.
GCF of Denominators means GCF of 652,138,121 as per the given fractions.
GCF of 652,138,121 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,77,888
2 | 96, 77, 888 |
2 | 48, 77, 444 |
2 | 24, 77, 222 |
3 | 12, 77, 111 |
4, 77, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 77 x 37 = 273504
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 96,77,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,77,888) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(96,77,888) x common factors =1 x 24 = 24
LCM(96,77,888) = ( 96 × 77 × 888 ) / 24
LCM(96,77,888) = 6564096 / 24
LCM(96,77,888) = 273504
Lets's calculate GCF of 652,138,121
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273504/1
Therefore the LCM of Fractions 96/652,77/138,888/121 is 273504
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Greatest Common Factor
We found the factors 652,138,121 . The biggest common factor number is the GCF number.
So the greatest common factor 652,138,121 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 96/652, 77/138, 888/121?
Answer: LCM of Numerators as per given numbers 96/652, 77/138, 888/121 is
LCM of Numerators i.e. for 96,77,888 is 273504
GCF of denominators i.e. for 652,138,121 is 1.
Thus, LCM of Fractions is 273504.Finally, LCM of Fractions for 96/652, 77/138, 888/121 is 273504.