Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 829/88, 761/4612 quickly i.e. 630869/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 829/88, 761/4612 is 630869/4.
LCM(829/88, 761/4612) = 630869/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 829/88,761/4612
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 829,761
Least Common Multiple of Numerators i.e. LCM of 829,761 is 630869.
GCF of Denominators means GCF of 88,4612 as per the given fractions.
GCF of 88,4612 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 829,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 630869
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 829,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,761) x common factors =1 x 1 = 1
LCM(829,761) = ( 829 × 761 ) / 1
LCM(829,761) = 630869 / 1
LCM(829,761) = 630869
Lets's calculate GCF of 88,4612
2 | 88, 4612 |
2 | 44, 2306 |
22, 1153 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 630869/4
Therefore the LCM of Fractions 829/88,761/4612 is 630869/4
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 4612
List of positive integer factors of 4612 that divides 4612 without a remainder.
1,2,4,1153,2306,4612
Greatest Common Factor
We found the factors 88,4612 . The biggest common factor number is the GCF number.
So the greatest common factor 88,4612 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 829/88, 761/4612?
Answer: LCM of Numerators as per given numbers 829/88, 761/4612 is
LCM of Numerators i.e. for 829,761 is 630869
GCF of denominators i.e. for 88,4612 is 4.
Thus, LCM of Fractions is 630869/4.Finally, LCM of Fractions for 829/88, 761/4612 is 630869/4.