Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1140/344, 7575/1377 quickly i.e. 575700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1140/344, 7575/1377 is 575700.
LCM(1140/344, 7575/1377) = 575700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1140/344,7575/1377
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 1140,7575
Least Common Multiple of Numerators i.e. LCM of 1140,7575 is 575700.
GCF of Denominators means GCF of 344,1377 as per the given fractions.
GCF of 344,1377 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1140,7575
3 | 1140, 7575 |
5 | 380, 2525 |
76, 505 |
∴ So the LCM of the given numbers is 3 x 5 x 76 x 505 = 575700
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 1140,7575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1140,7575) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(1140,7575) x common factors =15 x 1 = 15
LCM(1140,7575) = ( 1140 × 7575 ) / 15
LCM(1140,7575) = 8635500 / 15
LCM(1140,7575) = 575700
Lets's calculate GCF of 344,1377
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 575700/1
Therefore the LCM of Fractions 1140/344,7575/1377 is 575700
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Factors of 1377
List of positive integer factors of 1377 that divides 1377 without a remainder.
1,3,9,17,27,51,81,153,459,1377
Greatest Common Factor
We found the factors 344,1377 . The biggest common factor number is the GCF number.
So the greatest common factor 344,1377 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 1140/344, 7575/1377?
Answer: LCM of Numerators as per given numbers 1140/344, 7575/1377 is
LCM of Numerators i.e. for 1140,7575 is 575700
GCF of denominators i.e. for 344,1377 is 1.
Thus, LCM of Fractions is 575700.Finally, LCM of Fractions for 1140/344, 7575/1377 is 575700.