Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 356/781, 2197/894 quickly i.e. 782132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 356/781, 2197/894 is 782132.
LCM(356/781, 2197/894) = 782132
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 356/781,2197/894
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 356,2197
Least Common Multiple of Numerators i.e. LCM of 356,2197 is 782132.
GCF of Denominators means GCF of 781,894 as per the given fractions.
GCF of 781,894 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 356,2197
Given numbers has no common factors except 1. So, there LCM is their product i.e 782132
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 356,2197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,2197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(356,2197) x common factors =1 x 1 = 1
LCM(356,2197) = ( 356 × 2197 ) / 1
LCM(356,2197) = 782132 / 1
LCM(356,2197) = 782132
Lets's calculate GCF of 781,894
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 782132/1
Therefore the LCM of Fractions 356/781,2197/894 is 782132
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Greatest Common Factor
We found the factors 781,894 . The biggest common factor number is the GCF number.
So the greatest common factor 781,894 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 356/781, 2197/894?
Answer: LCM of Numerators as per given numbers 356/781, 2197/894 is
LCM of Numerators i.e. for 356,2197 is 782132
GCF of denominators i.e. for 781,894 is 1.
Thus, LCM of Fractions is 782132.Finally, LCM of Fractions for 356/781, 2197/894 is 782132.