Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 414/473, 4268/4739 quickly i.e. 883476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 414/473, 4268/4739 is 883476.
LCM(414/473, 4268/4739) = 883476
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 414/473,4268/4739
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 414,4268
Least Common Multiple of Numerators i.e. LCM of 414,4268 is 883476.
GCF of Denominators means GCF of 473,4739 as per the given fractions.
GCF of 473,4739 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 414,4268
2 | 414, 4268 |
207, 2134 |
∴ So the LCM of the given numbers is 2 x 207 x 2134 = 883476
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 414,4268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,4268) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,4268) x common factors =2 x 1 = 2
LCM(414,4268) = ( 414 × 4268 ) / 2
LCM(414,4268) = 1766952 / 2
LCM(414,4268) = 883476
Lets's calculate GCF of 473,4739
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 883476/1
Therefore the LCM of Fractions 414/473,4268/4739 is 883476
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Factors of 4739
List of positive integer factors of 4739 that divides 4739 without a remainder.
1,7,677,4739
Greatest Common Factor
We found the factors 473,4739 . The biggest common factor number is the GCF number.
So the greatest common factor 473,4739 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 414/473, 4268/4739?
Answer: LCM of Numerators as per given numbers 414/473, 4268/4739 is
LCM of Numerators i.e. for 414,4268 is 883476
GCF of denominators i.e. for 473,4739 is 1.
Thus, LCM of Fractions is 883476.Finally, LCM of Fractions for 414/473, 4268/4739 is 883476.