Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/896, 876/728, 346/527 quickly i.e. 1667028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/896, 876/728, 346/527 is 1667028.
LCM(22/896, 876/728, 346/527) = 1667028
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/896,876/728,346/527
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 22,876,346
Least Common Multiple of Numerators i.e. LCM of 22,876,346 is 1667028.
GCF of Denominators means GCF of 896,728,527 as per the given fractions.
GCF of 896,728,527 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,876,346
2 | 22, 876, 346 |
11, 438, 173 |
∴ So the LCM of the given numbers is 2 x 11 x 438 x 173 = 1667028
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 22,876,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,876,346) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(22,876,346) x common factors =2 x 2 = 4
LCM(22,876,346) = ( 22 × 876 × 346 ) / 4
LCM(22,876,346) = 6668112 / 4
LCM(22,876,346) = 1667028
Lets's calculate GCF of 896,728,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1667028/1
Therefore the LCM of Fractions 22/896,876/728,346/527 is 1667028
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Greatest Common Factor
We found the factors 896,728,527 . The biggest common factor number is the GCF number.
So the greatest common factor 896,728,527 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 22/896, 876/728, 346/527?
Answer: LCM of Numerators as per given numbers 22/896, 876/728, 346/527 is
LCM of Numerators i.e. for 22,876,346 is 1667028
GCF of denominators i.e. for 896,728,527 is 1.
Thus, LCM of Fractions is 1667028.Finally, LCM of Fractions for 22/896, 876/728, 346/527 is 1667028.