Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 841/68, 485/39, 927/756 quickly i.e. 378109395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 841/68, 485/39, 927/756 is 378109395.
LCM(841/68, 485/39, 927/756) = 378109395
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 841/68,485/39,927/756
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 841,485,927
Least Common Multiple of Numerators i.e. LCM of 841,485,927 is 378109395.
GCF of Denominators means GCF of 68,39,756 as per the given fractions.
GCF of 68,39,756 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 841,485,927
Given numbers has no common factors except 1. So, there LCM is their product i.e 378109395
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 841,485,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,485,927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,485,927) x common factors =1 x 1 = 1
LCM(841,485,927) = ( 841 × 485 × 927 ) / 1
LCM(841,485,927) = 378109395 / 1
LCM(841,485,927) = 378109395
Lets's calculate GCF of 68,39,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 378109395/1
Therefore the LCM of Fractions 841/68,485/39,927/756 is 378109395
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 68,39,756 . The biggest common factor number is the GCF number.
So the greatest common factor 68,39,756 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 841/68, 485/39, 927/756?
Answer: LCM of Numerators as per given numbers 841/68, 485/39, 927/756 is
LCM of Numerators i.e. for 841,485,927 is 378109395
GCF of denominators i.e. for 68,39,756 is 1.
Thus, LCM of Fractions is 378109395.Finally, LCM of Fractions for 841/68, 485/39, 927/756 is 378109395.