Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/203, 505/822, 442/295 quickly i.e. 4687410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/203, 505/822, 442/295 is 4687410.
LCM(42/203, 505/822, 442/295) = 4687410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/203,505/822,442/295
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 42,505,442
Least Common Multiple of Numerators i.e. LCM of 42,505,442 is 4687410.
GCF of Denominators means GCF of 203,822,295 as per the given fractions.
GCF of 203,822,295 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,505,442
2 | 42, 505, 442 |
21, 505, 221 |
∴ So the LCM of the given numbers is 2 x 21 x 505 x 221 = 4687410
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 42,505,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,505,442) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(42,505,442) x common factors =1 x 2 = 2
LCM(42,505,442) = ( 42 × 505 × 442 ) / 2
LCM(42,505,442) = 9374820 / 2
LCM(42,505,442) = 4687410
Lets's calculate GCF of 203,822,295
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4687410/1
Therefore the LCM of Fractions 42/203,505/822,442/295 is 4687410
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Greatest Common Factor
We found the factors 203,822,295 . The biggest common factor number is the GCF number.
So the greatest common factor 203,822,295 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 42/203, 505/822, 442/295?
Answer: LCM of Numerators as per given numbers 42/203, 505/822, 442/295 is
LCM of Numerators i.e. for 42,505,442 is 4687410
GCF of denominators i.e. for 203,822,295 is 1.
Thus, LCM of Fractions is 4687410.Finally, LCM of Fractions for 42/203, 505/822, 442/295 is 4687410.