Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7034/494, 2747/630 quickly i.e. 9661199 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7034/494, 2747/630 is 9661199.
LCM(7034/494, 2747/630) = 9661199
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7034/494,2747/630
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 7034,2747
Least Common Multiple of Numerators i.e. LCM of 7034,2747 is 19322398.
GCF of Denominators means GCF of 494,630 as per the given fractions.
GCF of 494,630 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7034,2747
Given numbers has no common factors except 1. So, there LCM is their product i.e 19322398
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 7034,2747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7034,2747) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7034,2747) x common factors =1 x 1 = 1
LCM(7034,2747) = ( 7034 × 2747 ) / 1
LCM(7034,2747) = 19322398 / 1
LCM(7034,2747) = 19322398
Lets's calculate GCF of 494,630
2 | 494, 630 |
247, 315 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19322398/2
Therefore the LCM of Fractions 7034/494,2747/630 is 9661199
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 494,630 . The biggest common factor number is the GCF number.
So the greatest common factor 494,630 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 7034/494, 2747/630?
Answer: LCM of Numerators as per given numbers 7034/494, 2747/630 is
LCM of Numerators i.e. for 7034,2747 is 19322398
GCF of denominators i.e. for 494,630 is 2.
Thus, LCM of Fractions is 9661199.Finally, LCM of Fractions for 7034/494, 2747/630 is 9661199.