Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/88, 41/41, 590/705 quickly i.e. 507990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/88, 41/41, 590/705 is 507990.
LCM(21/88, 41/41, 590/705) = 507990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/88,41/41,590/705
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 21,41,590
Least Common Multiple of Numerators i.e. LCM of 21,41,590 is 507990.
GCF of Denominators means GCF of 88,41,705 as per the given fractions.
GCF of 88,41,705 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,41,590
Given numbers has no common factors except 1. So, there LCM is their product i.e 507990
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 21,41,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,41,590) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,41,590) x common factors =1 x 1 = 1
LCM(21,41,590) = ( 21 × 41 × 590 ) / 1
LCM(21,41,590) = 507990 / 1
LCM(21,41,590) = 507990
Lets's calculate GCF of 88,41,705
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 507990/1
Therefore the LCM of Fractions 21/88,41/41,590/705 is 507990
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 88,41,705 . The biggest common factor number is the GCF number.
So the greatest common factor 88,41,705 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 21/88, 41/41, 590/705?
Answer: LCM of Numerators as per given numbers 21/88, 41/41, 590/705 is
LCM of Numerators i.e. for 21,41,590 is 507990
GCF of denominators i.e. for 88,41,705 is 1.
Thus, LCM of Fractions is 507990.Finally, LCM of Fractions for 21/88, 41/41, 590/705 is 507990.