Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 734/844, 746/554 quickly i.e. 136891 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 734/844, 746/554 is 136891.
LCM(734/844, 746/554) = 136891
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 734/844,746/554
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 734,746
Least Common Multiple of Numerators i.e. LCM of 734,746 is 273782.
GCF of Denominators means GCF of 844,554 as per the given fractions.
GCF of 844,554 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 734,746
2 | 734, 746 |
367, 373 |
∴ So the LCM of the given numbers is 2 x 367 x 373 = 273782
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 734,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,746) x common factors =2 x 1 = 2
LCM(734,746) = ( 734 × 746 ) / 2
LCM(734,746) = 547564 / 2
LCM(734,746) = 273782
Lets's calculate GCF of 844,554
2 | 844, 554 |
422, 277 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273782/2
Therefore the LCM of Fractions 734/844,746/554 is 136891
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Greatest Common Factor
We found the factors 844,554 . The biggest common factor number is the GCF number.
So the greatest common factor 844,554 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 734/844, 746/554?
Answer: LCM of Numerators as per given numbers 734/844, 746/554 is
LCM of Numerators i.e. for 734,746 is 273782
GCF of denominators i.e. for 844,554 is 2.
Thus, LCM of Fractions is 136891.Finally, LCM of Fractions for 734/844, 746/554 is 136891.