Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 782/89, 282/6922 quickly i.e. 110262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 782/89, 282/6922 is 110262.
LCM(782/89, 282/6922) = 110262
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 782/89,282/6922
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 782,282
Least Common Multiple of Numerators i.e. LCM of 782,282 is 110262.
GCF of Denominators means GCF of 89,6922 as per the given fractions.
GCF of 89,6922 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 782,282
2 | 782, 282 |
391, 141 |
∴ So the LCM of the given numbers is 2 x 391 x 141 = 110262
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 782,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(782,282) x common factors =2 x 1 = 2
LCM(782,282) = ( 782 × 282 ) / 2
LCM(782,282) = 220524 / 2
LCM(782,282) = 110262
Lets's calculate GCF of 89,6922
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110262/1
Therefore the LCM of Fractions 782/89,282/6922 is 110262
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 6922
List of positive integer factors of 6922 that divides 6922 without a remainder.
1,2,3461,6922
Greatest Common Factor
We found the factors 89,6922 . The biggest common factor number is the GCF number.
So the greatest common factor 89,6922 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 782/89, 282/6922?
Answer: LCM of Numerators as per given numbers 782/89, 282/6922 is
LCM of Numerators i.e. for 782,282 is 110262
GCF of denominators i.e. for 89,6922 is 1.
Thus, LCM of Fractions is 110262.Finally, LCM of Fractions for 782/89, 282/6922 is 110262.