Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/47, 77/442, 110/246 quickly i.e. 770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/47, 77/442, 110/246 is 770.
LCM(14/47, 77/442, 110/246) = 770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/47,77/442,110/246
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 14,77,110
Least Common Multiple of Numerators i.e. LCM of 14,77,110 is 770.
GCF of Denominators means GCF of 47,442,246 as per the given fractions.
GCF of 47,442,246 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,77,110
2 | 14, 77, 110 |
7 | 7, 77, 55 |
11 | 1, 11, 55 |
1, 1, 5 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 1 x 1 x 5 = 770
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 14,77,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,77,110) = 1
common factors(in case of two or more numbers have common factors) = 154
GCF(14,77,110) x common factors =1 x 154 = 154
LCM(14,77,110) = ( 14 × 77 × 110 ) / 154
LCM(14,77,110) = 118580 / 154
LCM(14,77,110) = 770
Lets's calculate GCF of 47,442,246
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 770/1
Therefore the LCM of Fractions 14/47,77/442,110/246 is 770
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
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 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Greatest Common Factor
We found the factors 47,442,246 . The biggest common factor number is the GCF number.
So the greatest common factor 47,442,246 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 14/47, 77/442, 110/246?
Answer: LCM of Numerators as per given numbers 14/47, 77/442, 110/246 is
LCM of Numerators i.e. for 14,77,110 is 770
GCF of denominators i.e. for 47,442,246 is 1.
Thus, LCM of Fractions is 770.Finally, LCM of Fractions for 14/47, 77/442, 110/246 is 770.