Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/713, 9750/2229 quickly i.e. 750750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/713, 9750/2229 is 750750.
LCM(77/713, 9750/2229) = 750750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/713,9750/2229
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 77,9750
Least Common Multiple of Numerators i.e. LCM of 77,9750 is 750750.
GCF of Denominators means GCF of 713,2229 as per the given fractions.
GCF of 713,2229 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,9750
Given numbers has no common factors except 1. So, there LCM is their product i.e 750750
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 77,9750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,9750) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,9750) x common factors =1 x 1 = 1
LCM(77,9750) = ( 77 × 9750 ) / 1
LCM(77,9750) = 750750 / 1
LCM(77,9750) = 750750
Lets's calculate GCF of 713,2229
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 750750/1
Therefore the LCM of Fractions 77/713,9750/2229 is 750750
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Factors of 2229
List of positive integer factors of 2229 that divides 2229 without a remainder.
1,3,743,2229
Greatest Common Factor
We found the factors 713,2229 . The biggest common factor number is the GCF number.
So the greatest common factor 713,2229 is 1.
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 77/713, 9750/2229?
Answer: LCM of Numerators as per given numbers 77/713, 9750/2229 is
LCM of Numerators i.e. for 77,9750 is 750750
GCF of denominators i.e. for 713,2229 is 1.
Thus, LCM of Fractions is 750750.Finally, LCM of Fractions for 77/713, 9750/2229 is 750750.