Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 165/212, 628/173, 983/563 quickly i.e. 101858460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 165/212, 628/173, 983/563 is 101858460.
LCM(165/212, 628/173, 983/563) = 101858460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 165/212,628/173,983/563
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 165,628,983
Least Common Multiple of Numerators i.e. LCM of 165,628,983 is 101858460.
GCF of Denominators means GCF of 212,173,563 as per the given fractions.
GCF of 212,173,563 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 165,628,983
Given numbers has no common factors except 1. So, there LCM is their product i.e 101858460
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 165,628,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,628,983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,628,983) x common factors =1 x 1 = 1
LCM(165,628,983) = ( 165 × 628 × 983 ) / 1
LCM(165,628,983) = 101858460 / 1
LCM(165,628,983) = 101858460
Lets's calculate GCF of 212,173,563
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101858460/1
Therefore the LCM of Fractions 165/212,628/173,983/563 is 101858460
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Greatest Common Factor
We found the factors 212,173,563 . The biggest common factor number is the GCF number.
So the greatest common factor 212,173,563 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 165/212, 628/173, 983/563?
Answer: LCM of Numerators as per given numbers 165/212, 628/173, 983/563 is
LCM of Numerators i.e. for 165,628,983 is 101858460
GCF of denominators i.e. for 212,173,563 is 1.
Thus, LCM of Fractions is 101858460.Finally, LCM of Fractions for 165/212, 628/173, 983/563 is 101858460.