Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6836/454, 2292/747 quickly i.e. 3917028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6836/454, 2292/747 is 3917028.
LCM(6836/454, 2292/747) = 3917028
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6836/454,2292/747
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 6836,2292
Least Common Multiple of Numerators i.e. LCM of 6836,2292 is 3917028.
GCF of Denominators means GCF of 454,747 as per the given fractions.
GCF of 454,747 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6836,2292
2 | 6836, 2292 |
2 | 3418, 1146 |
1709, 573 |
∴ So the LCM of the given numbers is 2 x 2 x 1709 x 573 = 3917028
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 6836,2292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6836,2292) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(6836,2292) x common factors =4 x 1 = 4
LCM(6836,2292) = ( 6836 × 2292 ) / 4
LCM(6836,2292) = 15668112 / 4
LCM(6836,2292) = 3917028
Lets's calculate GCF of 454,747
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3917028/1
Therefore the LCM of Fractions 6836/454,2292/747 is 3917028
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Greatest Common Factor
We found the factors 454,747 . The biggest common factor number is the GCF number.
So the greatest common factor 454,747 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 6836/454, 2292/747?
Answer: LCM of Numerators as per given numbers 6836/454, 2292/747 is
LCM of Numerators i.e. for 6836,2292 is 3917028
GCF of denominators i.e. for 454,747 is 1.
Thus, LCM of Fractions is 3917028.Finally, LCM of Fractions for 6836/454, 2292/747 is 3917028.