Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 744/422, 758/240 quickly i.e. 140988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 744/422, 758/240 is 140988.
LCM(744/422, 758/240) = 140988
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 744/422,758/240
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 744,758
Least Common Multiple of Numerators i.e. LCM of 744,758 is 281976.
GCF of Denominators means GCF of 422,240 as per the given fractions.
GCF of 422,240 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 744,758
2 | 744, 758 |
372, 379 |
∴ So the LCM of the given numbers is 2 x 372 x 379 = 281976
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 744,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(744,758) x common factors =2 x 1 = 2
LCM(744,758) = ( 744 × 758 ) / 2
LCM(744,758) = 563952 / 2
LCM(744,758) = 281976
Lets's calculate GCF of 422,240
2 | 422, 240 |
211, 120 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281976/2
Therefore the LCM of Fractions 744/422,758/240 is 140988
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Greatest Common Factor
We found the factors 422,240 . The biggest common factor number is the GCF number.
So the greatest common factor 422,240 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 744/422, 758/240?
Answer: LCM of Numerators as per given numbers 744/422, 758/240 is
LCM of Numerators i.e. for 744,758 is 281976
GCF of denominators i.e. for 422,240 is 2.
Thus, LCM of Fractions is 140988.Finally, LCM of Fractions for 744/422, 758/240 is 140988.