Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2745/814, 4260/250 quickly i.e. 389790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2745/814, 4260/250 is 389790.
LCM(2745/814, 4260/250) = 389790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2745/814,4260/250
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 2745,4260
Least Common Multiple of Numerators i.e. LCM of 2745,4260 is 779580.
GCF of Denominators means GCF of 814,250 as per the given fractions.
GCF of 814,250 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2745,4260
3 | 2745, 4260 |
5 | 915, 1420 |
183, 284 |
∴ So the LCM of the given numbers is 3 x 5 x 183 x 284 = 779580
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 2745,4260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2745,4260) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(2745,4260) x common factors =15 x 1 = 15
LCM(2745,4260) = ( 2745 × 4260 ) / 15
LCM(2745,4260) = 11693700 / 15
LCM(2745,4260) = 779580
Lets's calculate GCF of 814,250
2 | 814, 250 |
407, 125 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 779580/2
Therefore the LCM of Fractions 2745/814,4260/250 is 389790
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 814,250 . The biggest common factor number is the GCF number.
So the greatest common factor 814,250 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 2745/814, 4260/250?
Answer: LCM of Numerators as per given numbers 2745/814, 4260/250 is
LCM of Numerators i.e. for 2745,4260 is 779580
GCF of denominators i.e. for 814,250 is 2.
Thus, LCM of Fractions is 389790.Finally, LCM of Fractions for 2745/814, 4260/250 is 389790.