Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/70, 379/73, 738/268 quickly i.e. 6153444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/70, 379/73, 738/268 is 6153444.
LCM(44/70, 379/73, 738/268) = 6153444
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/70,379/73,738/268
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 44,379,738
Least Common Multiple of Numerators i.e. LCM of 44,379,738 is 6153444.
GCF of Denominators means GCF of 70,73,268 as per the given fractions.
GCF of 70,73,268 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,379,738
2 | 44, 379, 738 |
22, 379, 369 |
∴ So the LCM of the given numbers is 2 x 22 x 379 x 369 = 6153444
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 44,379,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,379,738) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(44,379,738) x common factors =1 x 2 = 2
LCM(44,379,738) = ( 44 × 379 × 738 ) / 2
LCM(44,379,738) = 12306888 / 2
LCM(44,379,738) = 6153444
Lets's calculate GCF of 70,73,268
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6153444/1
Therefore the LCM of Fractions 44/70,379/73,738/268 is 6153444
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Greatest Common Factor
We found the factors 70,73,268 . The biggest common factor number is the GCF number.
So the greatest common factor 70,73,268 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 44/70, 379/73, 738/268?
Answer: LCM of Numerators as per given numbers 44/70, 379/73, 738/268 is
LCM of Numerators i.e. for 44,379,738 is 6153444
GCF of denominators i.e. for 70,73,268 is 1.
Thus, LCM of Fractions is 6153444.Finally, LCM of Fractions for 44/70, 379/73, 738/268 is 6153444.