Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/545, 78/311, 428/138 quickly i.e. 417300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/545, 78/311, 428/138 is 417300.
LCM(50/545, 78/311, 428/138) = 417300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/545,78/311,428/138
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 50,78,428
Least Common Multiple of Numerators i.e. LCM of 50,78,428 is 417300.
GCF of Denominators means GCF of 545,311,138 as per the given fractions.
GCF of 545,311,138 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,78,428
2 | 50, 78, 428 |
25, 39, 214 |
∴ So the LCM of the given numbers is 2 x 25 x 39 x 214 = 417300
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 50,78,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,78,428) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(50,78,428) x common factors =2 x 2 = 4
LCM(50,78,428) = ( 50 × 78 × 428 ) / 4
LCM(50,78,428) = 1669200 / 4
LCM(50,78,428) = 417300
Lets's calculate GCF of 545,311,138
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 417300/1
Therefore the LCM of Fractions 50/545,78/311,428/138 is 417300
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1,311
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 545,311,138 . The biggest common factor number is the GCF number.
So the greatest common factor 545,311,138 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 50/545, 78/311, 428/138?
Answer: LCM of Numerators as per given numbers 50/545, 78/311, 428/138 is
LCM of Numerators i.e. for 50,78,428 is 417300
GCF of denominators i.e. for 545,311,138 is 1.
Thus, LCM of Fractions is 417300.Finally, LCM of Fractions for 50/545, 78/311, 428/138 is 417300.