Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3010/755, 9242/664 quickly i.e. 13909210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3010/755, 9242/664 is 13909210.
LCM(3010/755, 9242/664) = 13909210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3010/755,9242/664
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 3010,9242
Least Common Multiple of Numerators i.e. LCM of 3010,9242 is 13909210.
GCF of Denominators means GCF of 755,664 as per the given fractions.
GCF of 755,664 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3010,9242
2 | 3010, 9242 |
1505, 4621 |
∴ So the LCM of the given numbers is 2 x 1505 x 4621 = 13909210
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 3010,9242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3010,9242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3010,9242) x common factors =2 x 1 = 2
LCM(3010,9242) = ( 3010 × 9242 ) / 2
LCM(3010,9242) = 27818420 / 2
LCM(3010,9242) = 13909210
Lets's calculate GCF of 755,664
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13909210/1
Therefore the LCM of Fractions 3010/755,9242/664 is 13909210
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors 755,664 . The biggest common factor number is the GCF number.
So the greatest common factor 755,664 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 3010/755, 9242/664?
Answer: LCM of Numerators as per given numbers 3010/755, 9242/664 is
LCM of Numerators i.e. for 3010,9242 is 13909210
GCF of denominators i.e. for 755,664 is 1.
Thus, LCM of Fractions is 13909210.Finally, LCM of Fractions for 3010/755, 9242/664 is 13909210.