Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/54, 67/52, 43/534 quickly i.e. 135407 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/54, 67/52, 43/534 is 135407.
LCM(94/54, 67/52, 43/534) = 135407
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/54,67/52,43/534
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 94,67,43
Least Common Multiple of Numerators i.e. LCM of 94,67,43 is 270814.
GCF of Denominators means GCF of 54,52,534 as per the given fractions.
GCF of 54,52,534 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,67,43
Given numbers has no common factors except 1. So, there LCM is their product i.e 270814
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 94,67,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,67,43) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,67,43) x common factors =1 x 1 = 1
LCM(94,67,43) = ( 94 × 67 × 43 ) / 1
LCM(94,67,43) = 270814 / 1
LCM(94,67,43) = 270814
Lets's calculate GCF of 54,52,534
2 | 54, 52, 534 |
27, 26, 267 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270814/2
Therefore the LCM of Fractions 94/54,67/52,43/534 is 135407
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 54,52,534 . The biggest common factor number is the GCF number.
So the greatest common factor 54,52,534 is 2.
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 94/54, 67/52, 43/534?
Answer: LCM of Numerators as per given numbers 94/54, 67/52, 43/534 is
LCM of Numerators i.e. for 94,67,43 is 270814
GCF of denominators i.e. for 54,52,534 is 2.
Thus, LCM of Fractions is 135407.Finally, LCM of Fractions for 94/54, 67/52, 43/534 is 135407.