Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 197/956, 1943/9868 quickly i.e. 382771/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 197/956, 1943/9868 is 382771/4.
LCM(197/956, 1943/9868) = 382771/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 197/956,1943/9868
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 197,1943
Least Common Multiple of Numerators i.e. LCM of 197,1943 is 382771.
GCF of Denominators means GCF of 956,9868 as per the given fractions.
GCF of 956,9868 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 197,1943
Given numbers has no common factors except 1. So, there LCM is their product i.e 382771
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 197,1943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,1943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,1943) x common factors =1 x 1 = 1
LCM(197,1943) = ( 197 × 1943 ) / 1
LCM(197,1943) = 382771 / 1
LCM(197,1943) = 382771
Lets's calculate GCF of 956,9868
2 | 956, 9868 |
2 | 478, 4934 |
239, 2467 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382771/4
Therefore the LCM of Fractions 197/956,1943/9868 is 382771/4
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 9868
List of positive integer factors of 9868 that divides 9868 without a remainder.
1,2,4,2467,4934,9868
Greatest Common Factor
We found the factors 956,9868 . The biggest common factor number is the GCF number.
So the greatest common factor 956,9868 is 4.
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 197/956, 1943/9868?
Answer: LCM of Numerators as per given numbers 197/956, 1943/9868 is
LCM of Numerators i.e. for 197,1943 is 382771
GCF of denominators i.e. for 956,9868 is 4.
Thus, LCM of Fractions is 382771/4.Finally, LCM of Fractions for 197/956, 1943/9868 is 382771/4.