Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/356, 22/379, 259/572 quickly i.e. 267806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/356, 22/379, 259/572 is 267806.
LCM(47/356, 22/379, 259/572) = 267806
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/356,22/379,259/572
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 47,22,259
Least Common Multiple of Numerators i.e. LCM of 47,22,259 is 267806.
GCF of Denominators means GCF of 356,379,572 as per the given fractions.
GCF of 356,379,572 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,22,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 267806
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 47,22,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,22,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,22,259) x common factors =1 x 1 = 1
LCM(47,22,259) = ( 47 × 22 × 259 ) / 1
LCM(47,22,259) = 267806 / 1
LCM(47,22,259) = 267806
Lets's calculate GCF of 356,379,572
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267806/1
Therefore the LCM of Fractions 47/356,22/379,259/572 is 267806
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 356,379,572 . The biggest common factor number is the GCF number.
So the greatest common factor 356,379,572 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 47/356, 22/379, 259/572?
Answer: LCM of Numerators as per given numbers 47/356, 22/379, 259/572 is
LCM of Numerators i.e. for 47,22,259 is 267806
GCF of denominators i.e. for 356,379,572 is 1.
Thus, LCM of Fractions is 267806.Finally, LCM of Fractions for 47/356, 22/379, 259/572 is 267806.