Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/196, 92/238, 713/168 quickly i.e. 134044/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/196, 92/238, 713/168 is 134044/14.
LCM(94/196, 92/238, 713/168) = 134044/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/196,92/238,713/168
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 94,92,713
Least Common Multiple of Numerators i.e. LCM of 94,92,713 is 134044.
GCF of Denominators means GCF of 196,238,168 as per the given fractions.
GCF of 196,238,168 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,92,713
2 | 94, 92, 713 |
23 | 47, 46, 713 |
47, 2, 31 |
∴ So the LCM of the given numbers is 2 x 23 x 47 x 2 x 31 = 134044
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 94,92,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,92,713) = 1
common factors(in case of two or more numbers have common factors) = 46
GCF(94,92,713) x common factors =1 x 46 = 46
LCM(94,92,713) = ( 94 × 92 × 713 ) / 46
LCM(94,92,713) = 6166024 / 46
LCM(94,92,713) = 134044
Lets's calculate GCF of 196,238,168
2 | 196, 238, 168 |
7 | 98, 119, 84 |
14, 17, 12 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134044/14
Therefore the LCM of Fractions 94/196,92/238,713/168 is 134044/14
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 196,238,168 . The biggest common factor number is the GCF number.
So the greatest common factor 196,238,168 is 14.
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 94/196, 92/238, 713/168?
Answer: LCM of Numerators as per given numbers 94/196, 92/238, 713/168 is
LCM of Numerators i.e. for 94,92,713 is 134044
GCF of denominators i.e. for 196,238,168 is 14.
Thus, LCM of Fractions is 134044/14.Finally, LCM of Fractions for 94/196, 92/238, 713/168 is 134044/14.