Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1034/379, 3234/9665 quickly i.e. 151998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1034/379, 3234/9665 is 151998.
LCM(1034/379, 3234/9665) = 151998
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1034/379,3234/9665
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 1034,3234
Least Common Multiple of Numerators i.e. LCM of 1034,3234 is 151998.
GCF of Denominators means GCF of 379,9665 as per the given fractions.
GCF of 379,9665 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1034,3234
2 | 1034, 3234 |
11 | 517, 1617 |
47, 147 |
∴ So the LCM of the given numbers is 2 x 11 x 47 x 147 = 151998
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 1034,3234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1034,3234) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(1034,3234) x common factors =22 x 1 = 22
LCM(1034,3234) = ( 1034 × 3234 ) / 22
LCM(1034,3234) = 3343956 / 22
LCM(1034,3234) = 151998
Lets's calculate GCF of 379,9665
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151998/1
Therefore the LCM of Fractions 1034/379,3234/9665 is 151998
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Factors of 9665
List of positive integer factors of 9665 that divides 9665 without a remainder.
1,5,1933,9665
Greatest Common Factor
We found the factors 379,9665 . The biggest common factor number is the GCF number.
So the greatest common factor 379,9665 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 1034/379, 3234/9665?
Answer: LCM of Numerators as per given numbers 1034/379, 3234/9665 is
LCM of Numerators i.e. for 1034,3234 is 151998
GCF of denominators i.e. for 379,9665 is 1.
Thus, LCM of Fractions is 151998.Finally, LCM of Fractions for 1034/379, 3234/9665 is 151998.