Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 645/137, 6887/7032 quickly i.e. 4442115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 645/137, 6887/7032 is 4442115.
LCM(645/137, 6887/7032) = 4442115
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 645/137,6887/7032
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 645,6887
Least Common Multiple of Numerators i.e. LCM of 645,6887 is 4442115.
GCF of Denominators means GCF of 137,7032 as per the given fractions.
GCF of 137,7032 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 645,6887
Given numbers has no common factors except 1. So, there LCM is their product i.e 4442115
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 645,6887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,6887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(645,6887) x common factors =1 x 1 = 1
LCM(645,6887) = ( 645 × 6887 ) / 1
LCM(645,6887) = 4442115 / 1
LCM(645,6887) = 4442115
Lets's calculate GCF of 137,7032
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4442115/1
Therefore the LCM of Fractions 645/137,6887/7032 is 4442115
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Factors of 7032
List of positive integer factors of 7032 that divides 7032 without a remainder.
1,2,3,4,6,8,12,24,293,586,879,1172,1758,2344,3516,7032
Greatest Common Factor
We found the factors 137,7032 . The biggest common factor number is the GCF number.
So the greatest common factor 137,7032 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 645/137, 6887/7032?
Answer: LCM of Numerators as per given numbers 645/137, 6887/7032 is
LCM of Numerators i.e. for 645,6887 is 4442115
GCF of denominators i.e. for 137,7032 is 1.
Thus, LCM of Fractions is 4442115.Finally, LCM of Fractions for 645/137, 6887/7032 is 4442115.