Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 837/140, 6853/9344 quickly i.e. 5735961/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 837/140, 6853/9344 is 5735961/4.
LCM(837/140, 6853/9344) = 5735961/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 837/140,6853/9344
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 837,6853
Least Common Multiple of Numerators i.e. LCM of 837,6853 is 5735961.
GCF of Denominators means GCF of 140,9344 as per the given fractions.
GCF of 140,9344 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 837,6853
Given numbers has no common factors except 1. So, there LCM is their product i.e 5735961
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 837,6853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,6853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,6853) x common factors =1 x 1 = 1
LCM(837,6853) = ( 837 × 6853 ) / 1
LCM(837,6853) = 5735961 / 1
LCM(837,6853) = 5735961
Lets's calculate GCF of 140,9344
2 | 140, 9344 |
2 | 70, 4672 |
35, 2336 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5735961/4
Therefore the LCM of Fractions 837/140,6853/9344 is 5735961/4
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Factors of 9344
List of positive integer factors of 9344 that divides 9344 without a remainder.
1,2,4,8,16,32,64,73,128,146,292,584,1168,2336,4672,9344
Greatest Common Factor
We found the factors 140,9344 . The biggest common factor number is the GCF number.
So the greatest common factor 140,9344 is 4.
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 837/140, 6853/9344?
Answer: LCM of Numerators as per given numbers 837/140, 6853/9344 is
LCM of Numerators i.e. for 837,6853 is 5735961
GCF of denominators i.e. for 140,9344 is 4.
Thus, LCM of Fractions is 5735961/4.Finally, LCM of Fractions for 837/140, 6853/9344 is 5735961/4.