Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/850, 5366/2132 quickly i.e. 56343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/850, 5366/2132 is 56343.
LCM(42/850, 5366/2132) = 56343
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/850,5366/2132
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 42,5366
Least Common Multiple of Numerators i.e. LCM of 42,5366 is 112686.
GCF of Denominators means GCF of 850,2132 as per the given fractions.
GCF of 850,2132 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,5366
2 | 42, 5366 |
21, 2683 |
∴ So the LCM of the given numbers is 2 x 21 x 2683 = 112686
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 42,5366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,5366) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(42,5366) x common factors =2 x 1 = 2
LCM(42,5366) = ( 42 × 5366 ) / 2
LCM(42,5366) = 225372 / 2
LCM(42,5366) = 112686
Lets's calculate GCF of 850,2132
2 | 850, 2132 |
425, 1066 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112686/2
Therefore the LCM of Fractions 42/850,5366/2132 is 56343
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 2132
List of positive integer factors of 2132 that divides 2132 without a remainder.
1,2,4,13,26,41,52,82,164,533,1066,2132
Greatest Common Factor
We found the factors 850,2132 . The biggest common factor number is the GCF number.
So the greatest common factor 850,2132 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 42/850, 5366/2132?
Answer: LCM of Numerators as per given numbers 42/850, 5366/2132 is
LCM of Numerators i.e. for 42,5366 is 112686
GCF of denominators i.e. for 850,2132 is 2.
Thus, LCM of Fractions is 56343.Finally, LCM of Fractions for 42/850, 5366/2132 is 56343.