Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 260/92, 941/60, 611/22 quickly i.e. 5749510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 260/92, 941/60, 611/22 is 5749510.
LCM(260/92, 941/60, 611/22) = 5749510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 260/92,941/60,611/22
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 260,941,611
Least Common Multiple of Numerators i.e. LCM of 260,941,611 is 11499020.
GCF of Denominators means GCF of 92,60,22 as per the given fractions.
GCF of 92,60,22 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 260,941,611
13 | 260, 941, 611 |
20, 941, 47 |
∴ So the LCM of the given numbers is 13 x 20 x 941 x 47 = 11499020
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 260,941,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,941,611) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(260,941,611) x common factors =1 x 13 = 13
LCM(260,941,611) = ( 260 × 941 × 611 ) / 13
LCM(260,941,611) = 149487260 / 13
LCM(260,941,611) = 11499020
Lets's calculate GCF of 92,60,22
2 | 92, 60, 22 |
46, 30, 11 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11499020/2
Therefore the LCM of Fractions 260/92,941/60,611/22 is 5749510
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Greatest Common Factor
We found the factors 92,60,22 . The biggest common factor number is the GCF number.
So the greatest common factor 92,60,22 is 2.
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 260/92, 941/60, 611/22?
Answer: LCM of Numerators as per given numbers 260/92, 941/60, 611/22 is
LCM of Numerators i.e. for 260,941,611 is 11499020
GCF of denominators i.e. for 92,60,22 is 2.
Thus, LCM of Fractions is 5749510.Finally, LCM of Fractions for 260/92, 941/60, 611/22 is 5749510.