Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 710/718, 349/722 quickly i.e. 123895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 710/718, 349/722 is 123895.
LCM(710/718, 349/722) = 123895
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 710/718,349/722
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 710,349
Least Common Multiple of Numerators i.e. LCM of 710,349 is 247790.
GCF of Denominators means GCF of 718,722 as per the given fractions.
GCF of 718,722 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 710,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 247790
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 710,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(710,349) x common factors =1 x 1 = 1
LCM(710,349) = ( 710 × 349 ) / 1
LCM(710,349) = 247790 / 1
LCM(710,349) = 247790
Lets's calculate GCF of 718,722
2 | 718, 722 |
359, 361 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247790/2
Therefore the LCM of Fractions 710/718,349/722 is 123895
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 718,722 . The biggest common factor number is the GCF number.
So the greatest common factor 718,722 is 2.
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 710/718, 349/722?
Answer: LCM of Numerators as per given numbers 710/718, 349/722 is
LCM of Numerators i.e. for 710,349 is 247790
GCF of denominators i.e. for 718,722 is 2.
Thus, LCM of Fractions is 123895.Finally, LCM of Fractions for 710/718, 349/722 is 123895.