Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/590, 83/156, 434/835 quickly i.e. 972594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/590, 83/156, 434/835 is 972594.
LCM(54/590, 83/156, 434/835) = 972594
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/590,83/156,434/835
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 54,83,434
Least Common Multiple of Numerators i.e. LCM of 54,83,434 is 972594.
GCF of Denominators means GCF of 590,156,835 as per the given fractions.
GCF of 590,156,835 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,83,434
2 | 54, 83, 434 |
27, 83, 217 |
∴ So the LCM of the given numbers is 2 x 27 x 83 x 217 = 972594
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 54,83,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,83,434) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(54,83,434) x common factors =1 x 2 = 2
LCM(54,83,434) = ( 54 × 83 × 434 ) / 2
LCM(54,83,434) = 1945188 / 2
LCM(54,83,434) = 972594
Lets's calculate GCF of 590,156,835
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 972594/1
Therefore the LCM of Fractions 54/590,83/156,434/835 is 972594
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Greatest Common Factor
We found the factors 590,156,835 . The biggest common factor number is the GCF number.
So the greatest common factor 590,156,835 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 54/590, 83/156, 434/835?
Answer: LCM of Numerators as per given numbers 54/590, 83/156, 434/835 is
LCM of Numerators i.e. for 54,83,434 is 972594
GCF of denominators i.e. for 590,156,835 is 1.
Thus, LCM of Fractions is 972594.Finally, LCM of Fractions for 54/590, 83/156, 434/835 is 972594.