Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 703/244, 276/978 quickly i.e. 97014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 703/244, 276/978 is 97014.
LCM(703/244, 276/978) = 97014
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 703/244,276/978
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 703,276
Least Common Multiple of Numerators i.e. LCM of 703,276 is 194028.
GCF of Denominators means GCF of 244,978 as per the given fractions.
GCF of 244,978 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 703,276
Given numbers has no common factors except 1. So, there LCM is their product i.e 194028
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 703,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,276) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,276) x common factors =1 x 1 = 1
LCM(703,276) = ( 703 × 276 ) / 1
LCM(703,276) = 194028 / 1
LCM(703,276) = 194028
Lets's calculate GCF of 244,978
2 | 244, 978 |
122, 489 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194028/2
Therefore the LCM of Fractions 703/244,276/978 is 97014
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Greatest Common Factor
We found the factors 244,978 . The biggest common factor number is the GCF number.
So the greatest common factor 244,978 is 2.
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 703/244, 276/978?
Answer: LCM of Numerators as per given numbers 703/244, 276/978 is
LCM of Numerators i.e. for 703,276 is 194028
GCF of denominators i.e. for 244,978 is 2.
Thus, LCM of Fractions is 97014.Finally, LCM of Fractions for 703/244, 276/978 is 97014.