Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 140/87, 641/4958 quickly i.e. 89740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 140/87, 641/4958 is 89740.
LCM(140/87, 641/4958) = 89740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 140/87,641/4958
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 140,641
Least Common Multiple of Numerators i.e. LCM of 140,641 is 89740.
GCF of Denominators means GCF of 87,4958 as per the given fractions.
GCF of 87,4958 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 140,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 89740
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 140,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(140,641) x common factors =1 x 1 = 1
LCM(140,641) = ( 140 × 641 ) / 1
LCM(140,641) = 89740 / 1
LCM(140,641) = 89740
Lets's calculate GCF of 87,4958
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89740/1
Therefore the LCM of Fractions 140/87,641/4958 is 89740
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 4958
List of positive integer factors of 4958 that divides 4958 without a remainder.
1,2,37,67,74,134,2479,4958
Greatest Common Factor
We found the factors 87,4958 . The biggest common factor number is the GCF number.
So the greatest common factor 87,4958 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 140/87, 641/4958?
Answer: LCM of Numerators as per given numbers 140/87, 641/4958 is
LCM of Numerators i.e. for 140,641 is 89740
GCF of denominators i.e. for 87,4958 is 1.
Thus, LCM of Fractions is 89740.Finally, LCM of Fractions for 140/87, 641/4958 is 89740.