Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 547/203, 6970/1393 quickly i.e. 3812590/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 547/203, 6970/1393 is 3812590/7.
LCM(547/203, 6970/1393) = 3812590/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 547/203,6970/1393
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 547,6970
Least Common Multiple of Numerators i.e. LCM of 547,6970 is 3812590.
GCF of Denominators means GCF of 203,1393 as per the given fractions.
GCF of 203,1393 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 547,6970
Given numbers has no common factors except 1. So, there LCM is their product i.e 3812590
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 547,6970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(547,6970) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(547,6970) x common factors =1 x 1 = 1
LCM(547,6970) = ( 547 × 6970 ) / 1
LCM(547,6970) = 3812590 / 1
LCM(547,6970) = 3812590
Lets's calculate GCF of 203,1393
7 | 203, 1393 |
29, 199 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3812590/7
Therefore the LCM of Fractions 547/203,6970/1393 is 3812590/7
Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1,7,29,203
Factors of 1393
List of positive integer factors of 1393 that divides 1393 without a remainder.
1,7,199,1393
Greatest Common Factor
We found the factors 203,1393 . The biggest common factor number is the GCF number.
So the greatest common factor 203,1393 is 7.
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 547/203, 6970/1393?
Answer: LCM of Numerators as per given numbers 547/203, 6970/1393 is
LCM of Numerators i.e. for 547,6970 is 3812590
GCF of denominators i.e. for 203,1393 is 7.
Thus, LCM of Fractions is 3812590/7.Finally, LCM of Fractions for 547/203, 6970/1393 is 3812590/7.