Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/786, 898/326, 332/194 quickly i.e. 968942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/786, 898/326, 332/194 is 968942.
LCM(26/786, 898/326, 332/194) = 968942
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/786,898/326,332/194
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 26,898,332
Least Common Multiple of Numerators i.e. LCM of 26,898,332 is 1937884.
GCF of Denominators means GCF of 786,326,194 as per the given fractions.
GCF of 786,326,194 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,898,332
2 | 26, 898, 332 |
13, 449, 166 |
∴ So the LCM of the given numbers is 2 x 13 x 449 x 166 = 1937884
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 26,898,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,898,332) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(26,898,332) x common factors =2 x 2 = 4
LCM(26,898,332) = ( 26 × 898 × 332 ) / 4
LCM(26,898,332) = 7751536 / 4
LCM(26,898,332) = 1937884
Lets's calculate GCF of 786,326,194
2 | 786, 326, 194 |
393, 163, 97 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1937884/2
Therefore the LCM of Fractions 26/786,898/326,332/194 is 968942
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Greatest Common Factor
We found the factors 786,326,194 . The biggest common factor number is the GCF number.
So the greatest common factor 786,326,194 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 26/786, 898/326, 332/194?
Answer: LCM of Numerators as per given numbers 26/786, 898/326, 332/194 is
LCM of Numerators i.e. for 26,898,332 is 1937884
GCF of denominators i.e. for 786,326,194 is 2.
Thus, LCM of Fractions is 968942.Finally, LCM of Fractions for 26/786, 898/326, 332/194 is 968942.