Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/156, 83/838, 94/142 quickly i.e. 3901 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/156, 83/838, 94/142 is 3901.
LCM(2/156, 83/838, 94/142) = 3901
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/156,83/838,94/142
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 2,83,94
Least Common Multiple of Numerators i.e. LCM of 2,83,94 is 7802.
GCF of Denominators means GCF of 156,838,142 as per the given fractions.
GCF of 156,838,142 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,83,94
2 | 2, 83, 94 |
1, 83, 47 |
∴ So the LCM of the given numbers is 2 x 1 x 83 x 47 = 7802
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 2,83,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,83,94) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(2,83,94) x common factors =1 x 2 = 2
LCM(2,83,94) = ( 2 × 83 × 94 ) / 2
LCM(2,83,94) = 15604 / 2
LCM(2,83,94) = 7802
Lets's calculate GCF of 156,838,142
2 | 156, 838, 142 |
78, 419, 71 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7802/2
Therefore the LCM of Fractions 2/156,83/838,94/142 is 3901
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 838
List of positive integer factors of 838 that divides 838 without a remainder.
1,2,419,838
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Greatest Common Factor
We found the factors 156,838,142 . The biggest common factor number is the GCF number.
So the greatest common factor 156,838,142 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 2/156, 83/838, 94/142?
Answer: LCM of Numerators as per given numbers 2/156, 83/838, 94/142 is
LCM of Numerators i.e. for 2,83,94 is 7802
GCF of denominators i.e. for 156,838,142 is 2.
Thus, LCM of Fractions is 3901.Finally, LCM of Fractions for 2/156, 83/838, 94/142 is 3901.