Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 622/141, 3403/2414 quickly i.e. 2116666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 622/141, 3403/2414 is 2116666.
LCM(622/141, 3403/2414) = 2116666
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 622/141,3403/2414
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 622,3403
Least Common Multiple of Numerators i.e. LCM of 622,3403 is 2116666.
GCF of Denominators means GCF of 141,2414 as per the given fractions.
GCF of 141,2414 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 622,3403
Given numbers has no common factors except 1. So, there LCM is their product i.e 2116666
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 622,3403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,3403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(622,3403) x common factors =1 x 1 = 1
LCM(622,3403) = ( 622 × 3403 ) / 1
LCM(622,3403) = 2116666 / 1
LCM(622,3403) = 2116666
Lets's calculate GCF of 141,2414
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2116666/1
Therefore the LCM of Fractions 622/141,3403/2414 is 2116666
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 2414
List of positive integer factors of 2414 that divides 2414 without a remainder.
1,2,17,34,71,142,1207,2414
Greatest Common Factor
We found the factors 141,2414 . The biggest common factor number is the GCF number.
So the greatest common factor 141,2414 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 622/141, 3403/2414?
Answer: LCM of Numerators as per given numbers 622/141, 3403/2414 is
LCM of Numerators i.e. for 622,3403 is 2116666
GCF of denominators i.e. for 141,2414 is 1.
Thus, LCM of Fractions is 2116666.Finally, LCM of Fractions for 622/141, 3403/2414 is 2116666.