Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 746/747, 102/138, 135/912 quickly i.e. 570690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 746/747, 102/138, 135/912 is 570690.
LCM(746/747, 102/138, 135/912) = 570690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 746/747,102/138,135/912
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 746,102,135
Least Common Multiple of Numerators i.e. LCM of 746,102,135 is 1712070.
GCF of Denominators means GCF of 747,138,912 as per the given fractions.
GCF of 747,138,912 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 746,102,135
2 | 746, 102, 135 |
3 | 373, 51, 135 |
373, 17, 45 |
∴ So the LCM of the given numbers is 2 x 3 x 373 x 17 x 45 = 1712070
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 746,102,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,102,135) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(746,102,135) x common factors =1 x 6 = 6
LCM(746,102,135) = ( 746 × 102 × 135 ) / 6
LCM(746,102,135) = 10272420 / 6
LCM(746,102,135) = 1712070
Lets's calculate GCF of 747,138,912
3 | 747, 138, 912 |
249, 46, 304 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1712070/3
Therefore the LCM of Fractions 746/747,102/138,135/912 is 570690
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 747,138,912 . The biggest common factor number is the GCF number.
So the greatest common factor 747,138,912 is 3.
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 746/747, 102/138, 135/912?
Answer: LCM of Numerators as per given numbers 746/747, 102/138, 135/912 is
LCM of Numerators i.e. for 746,102,135 is 1712070
GCF of denominators i.e. for 747,138,912 is 3.
Thus, LCM of Fractions is 570690.Finally, LCM of Fractions for 746/747, 102/138, 135/912 is 570690.