Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/369, 2700/7654 quickly i.e. 51300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/369, 2700/7654 is 51300.
LCM(76/369, 2700/7654) = 51300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/369,2700/7654
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 76,2700
Least Common Multiple of Numerators i.e. LCM of 76,2700 is 51300.
GCF of Denominators means GCF of 369,7654 as per the given fractions.
GCF of 369,7654 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,2700
2 | 76, 2700 |
2 | 38, 1350 |
19, 675 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 675 = 51300
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 76,2700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,2700) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(76,2700) x common factors =4 x 1 = 4
LCM(76,2700) = ( 76 × 2700 ) / 4
LCM(76,2700) = 205200 / 4
LCM(76,2700) = 51300
Lets's calculate GCF of 369,7654
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51300/1
Therefore the LCM of Fractions 76/369,2700/7654 is 51300
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 7654
List of positive integer factors of 7654 that divides 7654 without a remainder.
1,2,43,86,89,178,3827,7654
Greatest Common Factor
We found the factors 369,7654 . The biggest common factor number is the GCF number.
So the greatest common factor 369,7654 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 76/369, 2700/7654?
Answer: LCM of Numerators as per given numbers 76/369, 2700/7654 is
LCM of Numerators i.e. for 76,2700 is 51300
GCF of denominators i.e. for 369,7654 is 1.
Thus, LCM of Fractions is 51300.Finally, LCM of Fractions for 76/369, 2700/7654 is 51300.