Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/734, 6490/2682 quickly i.e. 295295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/734, 6490/2682 is 295295.
LCM(91/734, 6490/2682) = 295295
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/734,6490/2682
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 91,6490
Least Common Multiple of Numerators i.e. LCM of 91,6490 is 590590.
GCF of Denominators means GCF of 734,2682 as per the given fractions.
GCF of 734,2682 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,6490
Given numbers has no common factors except 1. So, there LCM is their product i.e 590590
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 91,6490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,6490) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,6490) x common factors =1 x 1 = 1
LCM(91,6490) = ( 91 × 6490 ) / 1
LCM(91,6490) = 590590 / 1
LCM(91,6490) = 590590
Lets's calculate GCF of 734,2682
2 | 734, 2682 |
367, 1341 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 590590/2
Therefore the LCM of Fractions 91/734,6490/2682 is 295295
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 2682
List of positive integer factors of 2682 that divides 2682 without a remainder.
1,2,3,6,9,18,149,298,447,894,1341,2682
Greatest Common Factor
We found the factors 734,2682 . The biggest common factor number is the GCF number.
So the greatest common factor 734,2682 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 91/734, 6490/2682?
Answer: LCM of Numerators as per given numbers 91/734, 6490/2682 is
LCM of Numerators i.e. for 91,6490 is 590590
GCF of denominators i.e. for 734,2682 is 2.
Thus, LCM of Fractions is 295295.Finally, LCM of Fractions for 91/734, 6490/2682 is 295295.