Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1115/714, 5390/4749 quickly i.e. 1201970/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1115/714, 5390/4749 is 1201970/3.
LCM(1115/714, 5390/4749) = 1201970/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1115/714,5390/4749
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 1115,5390
Least Common Multiple of Numerators i.e. LCM of 1115,5390 is 1201970.
GCF of Denominators means GCF of 714,4749 as per the given fractions.
GCF of 714,4749 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1115,5390
5 | 1115, 5390 |
223, 1078 |
∴ So the LCM of the given numbers is 5 x 223 x 1078 = 1201970
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 1115,5390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1115,5390) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(1115,5390) x common factors =5 x 1 = 5
LCM(1115,5390) = ( 1115 × 5390 ) / 5
LCM(1115,5390) = 6009850 / 5
LCM(1115,5390) = 1201970
Lets's calculate GCF of 714,4749
3 | 714, 4749 |
238, 1583 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1201970/3
Therefore the LCM of Fractions 1115/714,5390/4749 is 1201970/3
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Factors of 4749
List of positive integer factors of 4749 that divides 4749 without a remainder.
1,3,1583,4749
Greatest Common Factor
We found the factors 714,4749 . The biggest common factor number is the GCF number.
So the greatest common factor 714,4749 is 3.
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 1115/714, 5390/4749?
Answer: LCM of Numerators as per given numbers 1115/714, 5390/4749 is
LCM of Numerators i.e. for 1115,5390 is 1201970
GCF of denominators i.e. for 714,4749 is 3.
Thus, LCM of Fractions is 1201970/3.Finally, LCM of Fractions for 1115/714, 5390/4749 is 1201970/3.