Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/140, 3490/4265 quickly i.e. 60726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/140, 3490/4265 is 60726.
LCM(87/140, 3490/4265) = 60726
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/140,3490/4265
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 87,3490
Least Common Multiple of Numerators i.e. LCM of 87,3490 is 303630.
GCF of Denominators means GCF of 140,4265 as per the given fractions.
GCF of 140,4265 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,3490
Given numbers has no common factors except 1. So, there LCM is their product i.e 303630
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 87,3490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,3490) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,3490) x common factors =1 x 1 = 1
LCM(87,3490) = ( 87 × 3490 ) / 1
LCM(87,3490) = 303630 / 1
LCM(87,3490) = 303630
Lets's calculate GCF of 140,4265
5 | 140, 4265 |
28, 853 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303630/5
Therefore the LCM of Fractions 87/140,3490/4265 is 60726
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 4265
List of positive integer factors of 4265 that divides 4265 without a remainder.
1,5,853,4265
Greatest Common Factor
We found the factors 140,4265 . The biggest common factor number is the GCF number.
So the greatest common factor 140,4265 is 5.
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 87/140, 3490/4265?
Answer: LCM of Numerators as per given numbers 87/140, 3490/4265 is
LCM of Numerators i.e. for 87,3490 is 303630
GCF of denominators i.e. for 140,4265 is 5.
Thus, LCM of Fractions is 60726.Finally, LCM of Fractions for 87/140, 3490/4265 is 60726.