Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 938/477, 702/662, 899/829 quickly i.e. 295984962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 938/477, 702/662, 899/829 is 295984962.
LCM(938/477, 702/662, 899/829) = 295984962
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 938/477,702/662,899/829
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 938,702,899
Least Common Multiple of Numerators i.e. LCM of 938,702,899 is 295984962.
GCF of Denominators means GCF of 477,662,829 as per the given fractions.
GCF of 477,662,829 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 938,702,899
2 | 938, 702, 899 |
469, 351, 899 |
∴ So the LCM of the given numbers is 2 x 469 x 351 x 899 = 295984962
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 938,702,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,702,899) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(938,702,899) x common factors =1 x 2 = 2
LCM(938,702,899) = ( 938 × 702 × 899 ) / 2
LCM(938,702,899) = 591969924 / 2
LCM(938,702,899) = 295984962
Lets's calculate GCF of 477,662,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295984962/1
Therefore the LCM of Fractions 938/477,702/662,899/829 is 295984962
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Greatest Common Factor
We found the factors 477,662,829 . The biggest common factor number is the GCF number.
So the greatest common factor 477,662,829 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 938/477, 702/662, 899/829?
Answer: LCM of Numerators as per given numbers 938/477, 702/662, 899/829 is
LCM of Numerators i.e. for 938,702,899 is 295984962
GCF of denominators i.e. for 477,662,829 is 1.
Thus, LCM of Fractions is 295984962.Finally, LCM of Fractions for 938/477, 702/662, 899/829 is 295984962.