Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/351, 68/598, 927/443 quickly i.e. 4601628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/351, 68/598, 927/443 is 4601628.
LCM(73/351, 68/598, 927/443) = 4601628
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/351,68/598,927/443
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 73,68,927
Least Common Multiple of Numerators i.e. LCM of 73,68,927 is 4601628.
GCF of Denominators means GCF of 351,598,443 as per the given fractions.
GCF of 351,598,443 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,68,927
Given numbers has no common factors except 1. So, there LCM is their product i.e 4601628
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 73,68,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,68,927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,68,927) x common factors =1 x 1 = 1
LCM(73,68,927) = ( 73 × 68 × 927 ) / 1
LCM(73,68,927) = 4601628 / 1
LCM(73,68,927) = 4601628
Lets's calculate GCF of 351,598,443
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4601628/1
Therefore the LCM of Fractions 73/351,68/598,927/443 is 4601628
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Greatest Common Factor
We found the factors 351,598,443 . The biggest common factor number is the GCF number.
So the greatest common factor 351,598,443 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 73/351, 68/598, 927/443?
Answer: LCM of Numerators as per given numbers 73/351, 68/598, 927/443 is
LCM of Numerators i.e. for 73,68,927 is 4601628
GCF of denominators i.e. for 351,598,443 is 1.
Thus, LCM of Fractions is 4601628.Finally, LCM of Fractions for 73/351, 68/598, 927/443 is 4601628.