Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 856/276, 2209/932 quickly i.e. 472726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 856/276, 2209/932 is 472726.
LCM(856/276, 2209/932) = 472726
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 856/276,2209/932
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 856,2209
Least Common Multiple of Numerators i.e. LCM of 856,2209 is 1890904.
GCF of Denominators means GCF of 276,932 as per the given fractions.
GCF of 276,932 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 856,2209
Given numbers has no common factors except 1. So, there LCM is their product i.e 1890904
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 856,2209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,2209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(856,2209) x common factors =1 x 1 = 1
LCM(856,2209) = ( 856 × 2209 ) / 1
LCM(856,2209) = 1890904 / 1
LCM(856,2209) = 1890904
Lets's calculate GCF of 276,932
2 | 276, 932 |
2 | 138, 466 |
69, 233 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1890904/4
Therefore the LCM of Fractions 856/276,2209/932 is 472726
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Greatest Common Factor
We found the factors 276,932 . The biggest common factor number is the GCF number.
So the greatest common factor 276,932 is 4.
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 856/276, 2209/932?
Answer: LCM of Numerators as per given numbers 856/276, 2209/932 is
LCM of Numerators i.e. for 856,2209 is 1890904
GCF of denominators i.e. for 276,932 is 4.
Thus, LCM of Fractions is 472726.Finally, LCM of Fractions for 856/276, 2209/932 is 472726.