Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4935/643, 3786/4602 quickly i.e. 6227970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4935/643, 3786/4602 is 6227970.
LCM(4935/643, 3786/4602) = 6227970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4935/643,3786/4602
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 4935,3786
Least Common Multiple of Numerators i.e. LCM of 4935,3786 is 6227970.
GCF of Denominators means GCF of 643,4602 as per the given fractions.
GCF of 643,4602 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4935,3786
3 | 4935, 3786 |
1645, 1262 |
∴ So the LCM of the given numbers is 3 x 1645 x 1262 = 6227970
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 4935,3786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4935,3786) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(4935,3786) x common factors =3 x 1 = 3
LCM(4935,3786) = ( 4935 × 3786 ) / 3
LCM(4935,3786) = 18683910 / 3
LCM(4935,3786) = 6227970
Lets's calculate GCF of 643,4602
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6227970/1
Therefore the LCM of Fractions 4935/643,3786/4602 is 6227970
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1,643
Factors of 4602
List of positive integer factors of 4602 that divides 4602 without a remainder.
1,2,3,6,13,26,39,59,78,118,177,354,767,1534,2301,4602
Greatest Common Factor
We found the factors 643,4602 . The biggest common factor number is the GCF number.
So the greatest common factor 643,4602 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 4935/643, 3786/4602?
Answer: LCM of Numerators as per given numbers 4935/643, 3786/4602 is
LCM of Numerators i.e. for 4935,3786 is 6227970
GCF of denominators i.e. for 643,4602 is 1.
Thus, LCM of Fractions is 6227970.Finally, LCM of Fractions for 4935/643, 3786/4602 is 6227970.