Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 708/726, 7438/6467 quickly i.e. 2633052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 708/726, 7438/6467 is 2633052.
LCM(708/726, 7438/6467) = 2633052
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 708/726,7438/6467
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 708,7438
Least Common Multiple of Numerators i.e. LCM of 708,7438 is 2633052.
GCF of Denominators means GCF of 726,6467 as per the given fractions.
GCF of 726,6467 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 708,7438
2 | 708, 7438 |
354, 3719 |
∴ So the LCM of the given numbers is 2 x 354 x 3719 = 2633052
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 708,7438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,7438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(708,7438) x common factors =2 x 1 = 2
LCM(708,7438) = ( 708 × 7438 ) / 2
LCM(708,7438) = 5266104 / 2
LCM(708,7438) = 2633052
Lets's calculate GCF of 726,6467
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2633052/1
Therefore the LCM of Fractions 708/726,7438/6467 is 2633052
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Factors of 6467
List of positive integer factors of 6467 that divides 6467 without a remainder.
1,29,223,6467
Greatest Common Factor
We found the factors 726,6467 . The biggest common factor number is the GCF number.
So the greatest common factor 726,6467 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 708/726, 7438/6467?
Answer: LCM of Numerators as per given numbers 708/726, 7438/6467 is
LCM of Numerators i.e. for 708,7438 is 2633052
GCF of denominators i.e. for 726,6467 is 1.
Thus, LCM of Fractions is 2633052.Finally, LCM of Fractions for 708/726, 7438/6467 is 2633052.