Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/178, 19/478, 534/122 quickly i.e. 218139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/178, 19/478, 534/122 is 218139.
LCM(43/178, 19/478, 534/122) = 218139
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/178,19/478,534/122
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 43,19,534
Least Common Multiple of Numerators i.e. LCM of 43,19,534 is 436278.
GCF of Denominators means GCF of 178,478,122 as per the given fractions.
GCF of 178,478,122 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,19,534
Given numbers has no common factors except 1. So, there LCM is their product i.e 436278
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 43,19,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,19,534) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,19,534) x common factors =1 x 1 = 1
LCM(43,19,534) = ( 43 × 19 × 534 ) / 1
LCM(43,19,534) = 436278 / 1
LCM(43,19,534) = 436278
Lets's calculate GCF of 178,478,122
2 | 178, 478, 122 |
89, 239, 61 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 436278/2
Therefore the LCM of Fractions 43/178,19/478,534/122 is 218139
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 178,478,122 . The biggest common factor number is the GCF number.
So the greatest common factor 178,478,122 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 43/178, 19/478, 534/122?
Answer: LCM of Numerators as per given numbers 43/178, 19/478, 534/122 is
LCM of Numerators i.e. for 43,19,534 is 436278
GCF of denominators i.e. for 178,478,122 is 2.
Thus, LCM of Fractions is 218139.Finally, LCM of Fractions for 43/178, 19/478, 534/122 is 218139.