Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 643/708, 6161/2432 quickly i.e. 3961523/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 643/708, 6161/2432 is 3961523/4.
LCM(643/708, 6161/2432) = 3961523/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 643/708,6161/2432
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 643,6161
Least Common Multiple of Numerators i.e. LCM of 643,6161 is 3961523.
GCF of Denominators means GCF of 708,2432 as per the given fractions.
GCF of 708,2432 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 643,6161
Given numbers has no common factors except 1. So, there LCM is their product i.e 3961523
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 643,6161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,6161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,6161) x common factors =1 x 1 = 1
LCM(643,6161) = ( 643 × 6161 ) / 1
LCM(643,6161) = 3961523 / 1
LCM(643,6161) = 3961523
Lets's calculate GCF of 708,2432
2 | 708, 2432 |
2 | 354, 1216 |
177, 608 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3961523/4
Therefore the LCM of Fractions 643/708,6161/2432 is 3961523/4
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Factors of 2432
List of positive integer factors of 2432 that divides 2432 without a remainder.
1,2,4,8,16,19,32,38,64,76,128,152,304,608,1216,2432
Greatest Common Factor
We found the factors 708,2432 . The biggest common factor number is the GCF number.
So the greatest common factor 708,2432 is 4.
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 643/708, 6161/2432?
Answer: LCM of Numerators as per given numbers 643/708, 6161/2432 is
LCM of Numerators i.e. for 643,6161 is 3961523
GCF of denominators i.e. for 708,2432 is 4.
Thus, LCM of Fractions is 3961523/4.Finally, LCM of Fractions for 643/708, 6161/2432 is 3961523/4.