Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7220/273, 3043/9698 quickly i.e. 21970460/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7220/273, 3043/9698 is 21970460/13.
LCM(7220/273, 3043/9698) = 21970460/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7220/273,3043/9698
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 7220,3043
Least Common Multiple of Numerators i.e. LCM of 7220,3043 is 21970460.
GCF of Denominators means GCF of 273,9698 as per the given fractions.
GCF of 273,9698 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7220,3043
Given numbers has no common factors except 1. So, there LCM is their product i.e 21970460
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 7220,3043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7220,3043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7220,3043) x common factors =1 x 1 = 1
LCM(7220,3043) = ( 7220 × 3043 ) / 1
LCM(7220,3043) = 21970460 / 1
LCM(7220,3043) = 21970460
Lets's calculate GCF of 273,9698
13 | 273, 9698 |
21, 746 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21970460/13
Therefore the LCM of Fractions 7220/273,3043/9698 is 21970460/13
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Factors of 9698
List of positive integer factors of 9698 that divides 9698 without a remainder.
1,2,13,26,373,746,4849,9698
Greatest Common Factor
We found the factors 273,9698 . The biggest common factor number is the GCF number.
So the greatest common factor 273,9698 is 13.
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 7220/273, 3043/9698?
Answer: LCM of Numerators as per given numbers 7220/273, 3043/9698 is
LCM of Numerators i.e. for 7220,3043 is 21970460
GCF of denominators i.e. for 273,9698 is 13.
Thus, LCM of Fractions is 21970460/13.Finally, LCM of Fractions for 7220/273, 3043/9698 is 21970460/13.