Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/612, 327/552, 922/302 quickly i.e. 1507470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/612, 327/552, 922/302 is 1507470.
LCM(60/612, 327/552, 922/302) = 1507470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/612,327/552,922/302
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 60,327,922
Least Common Multiple of Numerators i.e. LCM of 60,327,922 is 3014940.
GCF of Denominators means GCF of 612,552,302 as per the given fractions.
GCF of 612,552,302 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,327,922
2 | 60, 327, 922 |
3 | 30, 327, 461 |
10, 109, 461 |
∴ So the LCM of the given numbers is 2 x 3 x 10 x 109 x 461 = 3014940
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 60,327,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,327,922) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(60,327,922) x common factors =1 x 6 = 6
LCM(60,327,922) = ( 60 × 327 × 922 ) / 6
LCM(60,327,922) = 18089640 / 6
LCM(60,327,922) = 3014940
Lets's calculate GCF of 612,552,302
2 | 612, 552, 302 |
306, 276, 151 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3014940/2
Therefore the LCM of Fractions 60/612,327/552,922/302 is 1507470
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors 612,552,302 . The biggest common factor number is the GCF number.
So the greatest common factor 612,552,302 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 60/612, 327/552, 922/302?
Answer: LCM of Numerators as per given numbers 60/612, 327/552, 922/302 is
LCM of Numerators i.e. for 60,327,922 is 3014940
GCF of denominators i.e. for 612,552,302 is 2.
Thus, LCM of Fractions is 1507470.Finally, LCM of Fractions for 60/612, 327/552, 922/302 is 1507470.