Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6379/35, 6053/122 quickly i.e. 38612087 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6379/35, 6053/122 is 38612087.
LCM(6379/35, 6053/122) = 38612087
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6379/35,6053/122
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 6379,6053
Least Common Multiple of Numerators i.e. LCM of 6379,6053 is 38612087.
GCF of Denominators means GCF of 35,122 as per the given fractions.
GCF of 35,122 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6379,6053
Given numbers has no common factors except 1. So, there LCM is their product i.e 38612087
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 6379,6053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6379,6053) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6379,6053) x common factors =1 x 1 = 1
LCM(6379,6053) = ( 6379 × 6053 ) / 1
LCM(6379,6053) = 38612087 / 1
LCM(6379,6053) = 38612087
Lets's calculate GCF of 35,122
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38612087/1
Therefore the LCM of Fractions 6379/35,6053/122 is 38612087
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 35,122 . The biggest common factor number is the GCF number.
So the greatest common factor 35,122 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 6379/35, 6053/122?
Answer: LCM of Numerators as per given numbers 6379/35, 6053/122 is
LCM of Numerators i.e. for 6379,6053 is 38612087
GCF of denominators i.e. for 35,122 is 1.
Thus, LCM of Fractions is 38612087.Finally, LCM of Fractions for 6379/35, 6053/122 is 38612087.