Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5209/973, 7002/231 quickly i.e. 36473418/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5209/973, 7002/231 is 36473418/7.
LCM(5209/973, 7002/231) = 36473418/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5209/973,7002/231
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 5209,7002
Least Common Multiple of Numerators i.e. LCM of 5209,7002 is 36473418.
GCF of Denominators means GCF of 973,231 as per the given fractions.
GCF of 973,231 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5209,7002
Given numbers has no common factors except 1. So, there LCM is their product i.e 36473418
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 5209,7002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5209,7002) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5209,7002) x common factors =1 x 1 = 1
LCM(5209,7002) = ( 5209 × 7002 ) / 1
LCM(5209,7002) = 36473418 / 1
LCM(5209,7002) = 36473418
Lets's calculate GCF of 973,231
7 | 973, 231 |
139, 33 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36473418/7
Therefore the LCM of Fractions 5209/973,7002/231 is 36473418/7
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 973,231 . The biggest common factor number is the GCF number.
So the greatest common factor 973,231 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 5209/973, 7002/231?
Answer: LCM of Numerators as per given numbers 5209/973, 7002/231 is
LCM of Numerators i.e. for 5209,7002 is 36473418
GCF of denominators i.e. for 973,231 is 7.
Thus, LCM of Fractions is 36473418/7.Finally, LCM of Fractions for 5209/973, 7002/231 is 36473418/7.