Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7762/205, 2834/724 quickly i.e. 10998754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7762/205, 2834/724 is 10998754.
LCM(7762/205, 2834/724) = 10998754
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7762/205,2834/724
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 7762,2834
Least Common Multiple of Numerators i.e. LCM of 7762,2834 is 10998754.
GCF of Denominators means GCF of 205,724 as per the given fractions.
GCF of 205,724 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7762,2834
2 | 7762, 2834 |
3881, 1417 |
∴ So the LCM of the given numbers is 2 x 3881 x 1417 = 10998754
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 7762,2834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7762,2834) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7762,2834) x common factors =2 x 1 = 2
LCM(7762,2834) = ( 7762 × 2834 ) / 2
LCM(7762,2834) = 21997508 / 2
LCM(7762,2834) = 10998754
Lets's calculate GCF of 205,724
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10998754/1
Therefore the LCM of Fractions 7762/205,2834/724 is 10998754
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Greatest Common Factor
We found the factors 205,724 . The biggest common factor number is the GCF number.
So the greatest common factor 205,724 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 7762/205, 2834/724?
Answer: LCM of Numerators as per given numbers 7762/205, 2834/724 is
LCM of Numerators i.e. for 7762,2834 is 10998754
GCF of denominators i.e. for 205,724 is 1.
Thus, LCM of Fractions is 10998754.Finally, LCM of Fractions for 7762/205, 2834/724 is 10998754.