Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/16, 34/21, 17/77, 92/187 quickly i.e. 37536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/16, 34/21, 17/77, 92/187 is 37536.
LCM(96/16, 34/21, 17/77, 92/187) = 37536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/16,34/21,17/77,92/187
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 96,34,17,92
Least Common Multiple of Numerators i.e. LCM of 96,34,17,92 is 37536.
GCF of Denominators means GCF of 16,21,77,187 as per the given fractions.
GCF of 16,21,77,187 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,34,17,92
2 | 96, 34, 17, 92 |
2 | 48, 17, 17, 46 |
17 | 24, 17, 17, 23 |
24, 1, 1, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 24 x 1 x 1 x 23 = 37536
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 96,34,17,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,34,17,92) = 1
common factors(in case of two or more numbers have common factors) = 136
GCF(96,34,17,92) x common factors =1 x 136 = 136
LCM(96,34,17,92) = ( 96 × 34 × 17 × 92 ) / 136
LCM(96,34,17,92) = 5104896 / 136
LCM(96,34,17,92) = 37536
Lets's calculate GCF of 16,21,77,187
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37536/1
Therefore the LCM of Fractions 96/16,34/21,17/77,92/187 is 37536
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Greatest Common Factor
We found the factors 16,21,77,187 . The biggest common factor number is the GCF number.
So the greatest common factor 16,21,77,187 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 96/16, 34/21, 17/77, 92/187?
Answer: LCM of Numerators as per given numbers 96/16, 34/21, 17/77, 92/187 is
LCM of Numerators i.e. for 96,34,17,92 is 37536
GCF of denominators i.e. for 16,21,77,187 is 1.
Thus, LCM of Fractions is 37536.Finally, LCM of Fractions for 96/16, 34/21, 17/77, 92/187 is 37536.