Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 943/82, 398/26, 126/168 quickly i.e. 11822391 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 943/82, 398/26, 126/168 is 11822391.
LCM(943/82, 398/26, 126/168) = 11822391
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 943/82,398/26,126/168
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 943,398,126
Least Common Multiple of Numerators i.e. LCM of 943,398,126 is 23644782.
GCF of Denominators means GCF of 82,26,168 as per the given fractions.
GCF of 82,26,168 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 943,398,126
2 | 943, 398, 126 |
943, 199, 63 |
∴ So the LCM of the given numbers is 2 x 943 x 199 x 63 = 23644782
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 943,398,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,398,126) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(943,398,126) x common factors =1 x 2 = 2
LCM(943,398,126) = ( 943 × 398 × 126 ) / 2
LCM(943,398,126) = 47289564 / 2
LCM(943,398,126) = 23644782
Lets's calculate GCF of 82,26,168
2 | 82, 26, 168 |
41, 13, 84 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23644782/2
Therefore the LCM of Fractions 943/82,398/26,126/168 is 11822391
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 82,26,168 . The biggest common factor number is the GCF number.
So the greatest common factor 82,26,168 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 943/82, 398/26, 126/168?
Answer: LCM of Numerators as per given numbers 943/82, 398/26, 126/168 is
LCM of Numerators i.e. for 943,398,126 is 23644782
GCF of denominators i.e. for 82,26,168 is 2.
Thus, LCM of Fractions is 11822391.Finally, LCM of Fractions for 943/82, 398/26, 126/168 is 11822391.