Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 477/154, 475/647, 892/656 quickly i.e. 202104900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 477/154, 475/647, 892/656 is 202104900.
LCM(477/154, 475/647, 892/656) = 202104900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 477/154,475/647,892/656
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 477,475,892
Least Common Multiple of Numerators i.e. LCM of 477,475,892 is 202104900.
GCF of Denominators means GCF of 154,647,656 as per the given fractions.
GCF of 154,647,656 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 477,475,892
Given numbers has no common factors except 1. So, there LCM is their product i.e 202104900
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 477,475,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,475,892) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,475,892) x common factors =1 x 1 = 1
LCM(477,475,892) = ( 477 × 475 × 892 ) / 1
LCM(477,475,892) = 202104900 / 1
LCM(477,475,892) = 202104900
Lets's calculate GCF of 154,647,656
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202104900/1
Therefore the LCM of Fractions 477/154,475/647,892/656 is 202104900
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 154,647,656 . The biggest common factor number is the GCF number.
So the greatest common factor 154,647,656 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 477/154, 475/647, 892/656?
Answer: LCM of Numerators as per given numbers 477/154, 475/647, 892/656 is
LCM of Numerators i.e. for 477,475,892 is 202104900
GCF of denominators i.e. for 154,647,656 is 1.
Thus, LCM of Fractions is 202104900.Finally, LCM of Fractions for 477/154, 475/647, 892/656 is 202104900.