Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1056/714, 1741/1343 quickly i.e. 1838496/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1056/714, 1741/1343 is 1838496/17.
LCM(1056/714, 1741/1343) = 1838496/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1056/714,1741/1343
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 1056,1741
Least Common Multiple of Numerators i.e. LCM of 1056,1741 is 1838496.
GCF of Denominators means GCF of 714,1343 as per the given fractions.
GCF of 714,1343 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1056,1741
Given numbers has no common factors except 1. So, there LCM is their product i.e 1838496
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 1056,1741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1056,1741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1056,1741) x common factors =1 x 1 = 1
LCM(1056,1741) = ( 1056 × 1741 ) / 1
LCM(1056,1741) = 1838496 / 1
LCM(1056,1741) = 1838496
Lets's calculate GCF of 714,1343
17 | 714, 1343 |
42, 79 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1838496/17
Therefore the LCM of Fractions 1056/714,1741/1343 is 1838496/17
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Factors of 1343
List of positive integer factors of 1343 that divides 1343 without a remainder.
1,17,79,1343
Greatest Common Factor
We found the factors 714,1343 . The biggest common factor number is the GCF number.
So the greatest common factor 714,1343 is 17.
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 1056/714, 1741/1343?
Answer: LCM of Numerators as per given numbers 1056/714, 1741/1343 is
LCM of Numerators i.e. for 1056,1741 is 1838496
GCF of denominators i.e. for 714,1343 is 17.
Thus, LCM of Fractions is 1838496/17.Finally, LCM of Fractions for 1056/714, 1741/1343 is 1838496/17.