Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6134/847, 3700/171 quickly i.e. 11347900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6134/847, 3700/171 is 11347900.
LCM(6134/847, 3700/171) = 11347900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6134/847,3700/171
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 6134,3700
Least Common Multiple of Numerators i.e. LCM of 6134,3700 is 11347900.
GCF of Denominators means GCF of 847,171 as per the given fractions.
GCF of 847,171 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6134,3700
2 | 6134, 3700 |
3067, 1850 |
∴ So the LCM of the given numbers is 2 x 3067 x 1850 = 11347900
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 6134,3700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6134,3700) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6134,3700) x common factors =2 x 1 = 2
LCM(6134,3700) = ( 6134 × 3700 ) / 2
LCM(6134,3700) = 22695800 / 2
LCM(6134,3700) = 11347900
Lets's calculate GCF of 847,171
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11347900/1
Therefore the LCM of Fractions 6134/847,3700/171 is 11347900
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Greatest Common Factor
We found the factors 847,171 . The biggest common factor number is the GCF number.
So the greatest common factor 847,171 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 6134/847, 3700/171?
Answer: LCM of Numerators as per given numbers 6134/847, 3700/171 is
LCM of Numerators i.e. for 6134,3700 is 11347900
GCF of denominators i.e. for 847,171 is 1.
Thus, LCM of Fractions is 11347900.Finally, LCM of Fractions for 6134/847, 3700/171 is 11347900.