Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 802/273, 1625/669 quickly i.e. 1303250/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 802/273, 1625/669 is 1303250/3.
LCM(802/273, 1625/669) = 1303250/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 802/273,1625/669
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 802,1625
Least Common Multiple of Numerators i.e. LCM of 802,1625 is 1303250.
GCF of Denominators means GCF of 273,669 as per the given fractions.
GCF of 273,669 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 802,1625
Given numbers has no common factors except 1. So, there LCM is their product i.e 1303250
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 802,1625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,1625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,1625) x common factors =1 x 1 = 1
LCM(802,1625) = ( 802 × 1625 ) / 1
LCM(802,1625) = 1303250 / 1
LCM(802,1625) = 1303250
Lets's calculate GCF of 273,669
3 | 273, 669 |
91, 223 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1303250/3
Therefore the LCM of Fractions 802/273,1625/669 is 1303250/3
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Greatest Common Factor
We found the factors 273,669 . The biggest common factor number is the GCF number.
So the greatest common factor 273,669 is 3.
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 802/273, 1625/669?
Answer: LCM of Numerators as per given numbers 802/273, 1625/669 is
LCM of Numerators i.e. for 802,1625 is 1303250
GCF of denominators i.e. for 273,669 is 3.
Thus, LCM of Fractions is 1303250/3.Finally, LCM of Fractions for 802/273, 1625/669 is 1303250/3.