Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 630/379, 6541/1946 quickly i.e. 4120830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 630/379, 6541/1946 is 4120830.
LCM(630/379, 6541/1946) = 4120830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 630/379,6541/1946
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 630,6541
Least Common Multiple of Numerators i.e. LCM of 630,6541 is 4120830.
GCF of Denominators means GCF of 379,1946 as per the given fractions.
GCF of 379,1946 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 630,6541
Given numbers has no common factors except 1. So, there LCM is their product i.e 4120830
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 630,6541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,6541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(630,6541) x common factors =1 x 1 = 1
LCM(630,6541) = ( 630 × 6541 ) / 1
LCM(630,6541) = 4120830 / 1
LCM(630,6541) = 4120830
Lets's calculate GCF of 379,1946
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4120830/1
Therefore the LCM of Fractions 630/379,6541/1946 is 4120830
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Factors of 1946
List of positive integer factors of 1946 that divides 1946 without a remainder.
1,2,7,14,139,278,973,1946
Greatest Common Factor
We found the factors 379,1946 . The biggest common factor number is the GCF number.
So the greatest common factor 379,1946 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 630/379, 6541/1946?
Answer: LCM of Numerators as per given numbers 630/379, 6541/1946 is
LCM of Numerators i.e. for 630,6541 is 4120830
GCF of denominators i.e. for 379,1946 is 1.
Thus, LCM of Fractions is 4120830.Finally, LCM of Fractions for 630/379, 6541/1946 is 4120830.