Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1349/151, 3916/6857 quickly i.e. 5282684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1349/151, 3916/6857 is 5282684.
LCM(1349/151, 3916/6857) = 5282684
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1349/151,3916/6857
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 1349,3916
Least Common Multiple of Numerators i.e. LCM of 1349,3916 is 5282684.
GCF of Denominators means GCF of 151,6857 as per the given fractions.
GCF of 151,6857 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1349,3916
Given numbers has no common factors except 1. So, there LCM is their product i.e 5282684
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 1349,3916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1349,3916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1349,3916) x common factors =1 x 1 = 1
LCM(1349,3916) = ( 1349 × 3916 ) / 1
LCM(1349,3916) = 5282684 / 1
LCM(1349,3916) = 5282684
Lets's calculate GCF of 151,6857
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5282684/1
Therefore the LCM of Fractions 1349/151,3916/6857 is 5282684
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 6857
List of positive integer factors of 6857 that divides 6857 without a remainder.
1,6857
Greatest Common Factor
We found the factors 151,6857 . The biggest common factor number is the GCF number.
So the greatest common factor 151,6857 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 1349/151, 3916/6857?
Answer: LCM of Numerators as per given numbers 1349/151, 3916/6857 is
LCM of Numerators i.e. for 1349,3916 is 5282684
GCF of denominators i.e. for 151,6857 is 1.
Thus, LCM of Fractions is 5282684.Finally, LCM of Fractions for 1349/151, 3916/6857 is 5282684.