Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/120, 7672/7774 quickly i.e. 3836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/120, 7672/7774 is 3836.
LCM(28/120, 7672/7774) = 3836
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/120,7672/7774
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 28,7672
Least Common Multiple of Numerators i.e. LCM of 28,7672 is 7672.
GCF of Denominators means GCF of 120,7774 as per the given fractions.
GCF of 120,7774 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,7672
2 | 28, 7672 |
2 | 14, 3836 |
7 | 7, 1918 |
1, 274 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 274 = 7672
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 28,7672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,7672) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(28,7672) x common factors =28 x 1 = 28
LCM(28,7672) = ( 28 × 7672 ) / 28
LCM(28,7672) = 214816 / 28
LCM(28,7672) = 7672
Lets's calculate GCF of 120,7774
2 | 120, 7774 |
60, 3887 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7672/2
Therefore the LCM of Fractions 28/120,7672/7774 is 3836
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Factors of 7774
List of positive integer factors of 7774 that divides 7774 without a remainder.
1,2,13,23,26,46,169,299,338,598,3887,7774
Greatest Common Factor
We found the factors 120,7774 . The biggest common factor number is the GCF number.
So the greatest common factor 120,7774 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 28/120, 7672/7774?
Answer: LCM of Numerators as per given numbers 28/120, 7672/7774 is
LCM of Numerators i.e. for 28,7672 is 7672
GCF of denominators i.e. for 120,7774 is 2.
Thus, LCM of Fractions is 3836.Finally, LCM of Fractions for 28/120, 7672/7774 is 3836.