Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/442, 12/156, 695/107 quickly i.e. 341940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/442, 12/156, 695/107 is 341940.
LCM(41/442, 12/156, 695/107) = 341940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/442,12/156,695/107
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 41,12,695
Least Common Multiple of Numerators i.e. LCM of 41,12,695 is 341940.
GCF of Denominators means GCF of 442,156,107 as per the given fractions.
GCF of 442,156,107 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,12,695
Given numbers has no common factors except 1. So, there LCM is their product i.e 341940
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 41,12,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,12,695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,12,695) x common factors =1 x 1 = 1
LCM(41,12,695) = ( 41 × 12 × 695 ) / 1
LCM(41,12,695) = 341940 / 1
LCM(41,12,695) = 341940
Lets's calculate GCF of 442,156,107
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341940/1
Therefore the LCM of Fractions 41/442,12/156,695/107 is 341940
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
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 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Greatest Common Factor
We found the factors 442,156,107 . The biggest common factor number is the GCF number.
So the greatest common factor 442,156,107 is 1.
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 41/442, 12/156, 695/107?
Answer: LCM of Numerators as per given numbers 41/442, 12/156, 695/107 is
LCM of Numerators i.e. for 41,12,695 is 341940
GCF of denominators i.e. for 442,156,107 is 1.
Thus, LCM of Fractions is 341940.Finally, LCM of Fractions for 41/442, 12/156, 695/107 is 341940.