Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3462/711, 7373/492 quickly i.e. 8508442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3462/711, 7373/492 is 8508442.
LCM(3462/711, 7373/492) = 8508442
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3462/711,7373/492
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 3462,7373
Least Common Multiple of Numerators i.e. LCM of 3462,7373 is 25525326.
GCF of Denominators means GCF of 711,492 as per the given fractions.
GCF of 711,492 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3462,7373
Given numbers has no common factors except 1. So, there LCM is their product i.e 25525326
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 3462,7373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3462,7373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3462,7373) x common factors =1 x 1 = 1
LCM(3462,7373) = ( 3462 × 7373 ) / 1
LCM(3462,7373) = 25525326 / 1
LCM(3462,7373) = 25525326
Lets's calculate GCF of 711,492
3 | 711, 492 |
237, 164 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25525326/3
Therefore the LCM of Fractions 3462/711,7373/492 is 8508442
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Greatest Common Factor
We found the factors 711,492 . The biggest common factor number is the GCF number.
So the greatest common factor 711,492 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 3462/711, 7373/492?
Answer: LCM of Numerators as per given numbers 3462/711, 7373/492 is
LCM of Numerators i.e. for 3462,7373 is 25525326
GCF of denominators i.e. for 711,492 is 3.
Thus, LCM of Fractions is 8508442.Finally, LCM of Fractions for 3462/711, 7373/492 is 8508442.