Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 965/93, 165/68, 987/156 quickly i.e. 10477005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 965/93, 165/68, 987/156 is 10477005.
LCM(965/93, 165/68, 987/156) = 10477005
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 965/93,165/68,987/156
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 965,165,987
Least Common Multiple of Numerators i.e. LCM of 965,165,987 is 10477005.
GCF of Denominators means GCF of 93,68,156 as per the given fractions.
GCF of 93,68,156 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 965,165,987
3 | 965, 165, 987 |
5 | 965, 55, 329 |
193, 11, 329 |
∴ So the LCM of the given numbers is 3 x 5 x 193 x 11 x 329 = 10477005
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 965,165,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,165,987) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(965,165,987) x common factors =1 x 15 = 15
LCM(965,165,987) = ( 965 × 165 × 987 ) / 15
LCM(965,165,987) = 157155075 / 15
LCM(965,165,987) = 10477005
Lets's calculate GCF of 93,68,156
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10477005/1
Therefore the LCM of Fractions 965/93,165/68,987/156 is 10477005
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 93,68,156 . The biggest common factor number is the GCF number.
So the greatest common factor 93,68,156 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 965/93, 165/68, 987/156?
Answer: LCM of Numerators as per given numbers 965/93, 165/68, 987/156 is
LCM of Numerators i.e. for 965,165,987 is 10477005
GCF of denominators i.e. for 93,68,156 is 1.
Thus, LCM of Fractions is 10477005.Finally, LCM of Fractions for 965/93, 165/68, 987/156 is 10477005.