Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/620, 141/635, 944/813 quickly i.e. 4658640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/620, 141/635, 944/813 is 4658640.
LCM(35/620, 141/635, 944/813) = 4658640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/620,141/635,944/813
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 35,141,944
Least Common Multiple of Numerators i.e. LCM of 35,141,944 is 4658640.
GCF of Denominators means GCF of 620,635,813 as per the given fractions.
GCF of 620,635,813 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,141,944
Given numbers has no common factors except 1. So, there LCM is their product i.e 4658640
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 35,141,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,141,944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,141,944) x common factors =1 x 1 = 1
LCM(35,141,944) = ( 35 × 141 × 944 ) / 1
LCM(35,141,944) = 4658640 / 1
LCM(35,141,944) = 4658640
Lets's calculate GCF of 620,635,813
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4658640/1
Therefore the LCM of Fractions 35/620,141/635,944/813 is 4658640
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Greatest Common Factor
We found the factors 620,635,813 . The biggest common factor number is the GCF number.
So the greatest common factor 620,635,813 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 35/620, 141/635, 944/813?
Answer: LCM of Numerators as per given numbers 35/620, 141/635, 944/813 is
LCM of Numerators i.e. for 35,141,944 is 4658640
GCF of denominators i.e. for 620,635,813 is 1.
Thus, LCM of Fractions is 4658640.Finally, LCM of Fractions for 35/620, 141/635, 944/813 is 4658640.