Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 473/21, 467/57, 735/884 quickly i.e. 162354885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 473/21, 467/57, 735/884 is 162354885.
LCM(473/21, 467/57, 735/884) = 162354885
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 473/21,467/57,735/884
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 473,467,735
Least Common Multiple of Numerators i.e. LCM of 473,467,735 is 162354885.
GCF of Denominators means GCF of 21,57,884 as per the given fractions.
GCF of 21,57,884 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 473,467,735
Given numbers has no common factors except 1. So, there LCM is their product i.e 162354885
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 473,467,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,467,735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,467,735) x common factors =1 x 1 = 1
LCM(473,467,735) = ( 473 × 467 × 735 ) / 1
LCM(473,467,735) = 162354885 / 1
LCM(473,467,735) = 162354885
Lets's calculate GCF of 21,57,884
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162354885/1
Therefore the LCM of Fractions 473/21,467/57,735/884 is 162354885
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 21,57,884 . The biggest common factor number is the GCF number.
So the greatest common factor 21,57,884 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 473/21, 467/57, 735/884?
Answer: LCM of Numerators as per given numbers 473/21, 467/57, 735/884 is
LCM of Numerators i.e. for 473,467,735 is 162354885
GCF of denominators i.e. for 21,57,884 is 1.
Thus, LCM of Fractions is 162354885.Finally, LCM of Fractions for 473/21, 467/57, 735/884 is 162354885.