Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/356, 34/894, 212/268 quickly i.e. 52258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/356, 34/894, 212/268 is 52258.
LCM(58/356, 34/894, 212/268) = 52258
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/356,34/894,212/268
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 58,34,212
Least Common Multiple of Numerators i.e. LCM of 58,34,212 is 104516.
GCF of Denominators means GCF of 356,894,268 as per the given fractions.
GCF of 356,894,268 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,34,212
2 | 58, 34, 212 |
29, 17, 106 |
∴ So the LCM of the given numbers is 2 x 29 x 17 x 106 = 104516
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 58,34,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,34,212) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(58,34,212) x common factors =2 x 2 = 4
LCM(58,34,212) = ( 58 × 34 × 212 ) / 4
LCM(58,34,212) = 418064 / 4
LCM(58,34,212) = 104516
Lets's calculate GCF of 356,894,268
2 | 356, 894, 268 |
178, 447, 134 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104516/2
Therefore the LCM of Fractions 58/356,34/894,212/268 is 52258
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Greatest Common Factor
We found the factors 356,894,268 . The biggest common factor number is the GCF number.
So the greatest common factor 356,894,268 is 2.
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 58/356, 34/894, 212/268?
Answer: LCM of Numerators as per given numbers 58/356, 34/894, 212/268 is
LCM of Numerators i.e. for 58,34,212 is 104516
GCF of denominators i.e. for 356,894,268 is 2.
Thus, LCM of Fractions is 52258.Finally, LCM of Fractions for 58/356, 34/894, 212/268 is 52258.