Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 151/700, 8740/3243 quickly i.e. 1319740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 151/700, 8740/3243 is 1319740.
LCM(151/700, 8740/3243) = 1319740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 151/700,8740/3243
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 151,8740
Least Common Multiple of Numerators i.e. LCM of 151,8740 is 1319740.
GCF of Denominators means GCF of 700,3243 as per the given fractions.
GCF of 700,3243 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 151,8740
Given numbers has no common factors except 1. So, there LCM is their product i.e 1319740
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 151,8740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,8740) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,8740) x common factors =1 x 1 = 1
LCM(151,8740) = ( 151 × 8740 ) / 1
LCM(151,8740) = 1319740 / 1
LCM(151,8740) = 1319740
Lets's calculate GCF of 700,3243
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1319740/1
Therefore the LCM of Fractions 151/700,8740/3243 is 1319740
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Factors of 3243
List of positive integer factors of 3243 that divides 3243 without a remainder.
1,3,23,47,69,141,1081,3243
Greatest Common Factor
We found the factors 700,3243 . The biggest common factor number is the GCF number.
So the greatest common factor 700,3243 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 151/700, 8740/3243?
Answer: LCM of Numerators as per given numbers 151/700, 8740/3243 is
LCM of Numerators i.e. for 151,8740 is 1319740
GCF of denominators i.e. for 700,3243 is 1.
Thus, LCM of Fractions is 1319740.Finally, LCM of Fractions for 151/700, 8740/3243 is 1319740.