Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 475/633, 403/837, 467/485 quickly i.e. 89395475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 475/633, 403/837, 467/485 is 89395475.
LCM(475/633, 403/837, 467/485) = 89395475
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 475/633,403/837,467/485
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 475,403,467
Least Common Multiple of Numerators i.e. LCM of 475,403,467 is 89395475.
GCF of Denominators means GCF of 633,837,485 as per the given fractions.
GCF of 633,837,485 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 475,403,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 89395475
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 475,403,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,403,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,403,467) x common factors =1 x 1 = 1
LCM(475,403,467) = ( 475 × 403 × 467 ) / 1
LCM(475,403,467) = 89395475 / 1
LCM(475,403,467) = 89395475
Lets's calculate GCF of 633,837,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89395475/1
Therefore the LCM of Fractions 475/633,403/837,467/485 is 89395475
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 633,837,485 . The biggest common factor number is the GCF number.
So the greatest common factor 633,837,485 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 475/633, 403/837, 467/485?
Answer: LCM of Numerators as per given numbers 475/633, 403/837, 467/485 is
LCM of Numerators i.e. for 475,403,467 is 89395475
GCF of denominators i.e. for 633,837,485 is 1.
Thus, LCM of Fractions is 89395475.Finally, LCM of Fractions for 475/633, 403/837, 467/485 is 89395475.