Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 614/93, 879/1921 quickly i.e. 539706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 614/93, 879/1921 is 539706.
LCM(614/93, 879/1921) = 539706
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 614/93,879/1921
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 614,879
Least Common Multiple of Numerators i.e. LCM of 614,879 is 539706.
GCF of Denominators means GCF of 93,1921 as per the given fractions.
GCF of 93,1921 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 614,879
Given numbers has no common factors except 1. So, there LCM is their product i.e 539706
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 614,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,879) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(614,879) x common factors =1 x 1 = 1
LCM(614,879) = ( 614 × 879 ) / 1
LCM(614,879) = 539706 / 1
LCM(614,879) = 539706
Lets's calculate GCF of 93,1921
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 539706/1
Therefore the LCM of Fractions 614/93,879/1921 is 539706
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 1921
List of positive integer factors of 1921 that divides 1921 without a remainder.
1,17,113,1921
Greatest Common Factor
We found the factors 93,1921 . The biggest common factor number is the GCF number.
So the greatest common factor 93,1921 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 614/93, 879/1921?
Answer: LCM of Numerators as per given numbers 614/93, 879/1921 is
LCM of Numerators i.e. for 614,879 is 539706
GCF of denominators i.e. for 93,1921 is 1.
Thus, LCM of Fractions is 539706.Finally, LCM of Fractions for 614/93, 879/1921 is 539706.