Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 792/693, 7114/4400 quickly i.e. 256104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 792/693, 7114/4400 is 256104.
LCM(792/693, 7114/4400) = 256104
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 792/693,7114/4400
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 792,7114
Least Common Multiple of Numerators i.e. LCM of 792,7114 is 2817144.
GCF of Denominators means GCF of 693,4400 as per the given fractions.
GCF of 693,4400 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 792,7114
2 | 792, 7114 |
396, 3557 |
∴ So the LCM of the given numbers is 2 x 396 x 3557 = 2817144
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 792,7114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,7114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(792,7114) x common factors =2 x 1 = 2
LCM(792,7114) = ( 792 × 7114 ) / 2
LCM(792,7114) = 5634288 / 2
LCM(792,7114) = 2817144
Lets's calculate GCF of 693,4400
11 | 693, 4400 |
63, 400 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2817144/11
Therefore the LCM of Fractions 792/693,7114/4400 is 256104
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Factors of 4400
List of positive integer factors of 4400 that divides 4400 without a remainder.
1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400
Greatest Common Factor
We found the factors 693,4400 . The biggest common factor number is the GCF number.
So the greatest common factor 693,4400 is 11.
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 792/693, 7114/4400?
Answer: LCM of Numerators as per given numbers 792/693, 7114/4400 is
LCM of Numerators i.e. for 792,7114 is 2817144
GCF of denominators i.e. for 693,4400 is 11.
Thus, LCM of Fractions is 256104.Finally, LCM of Fractions for 792/693, 7114/4400 is 256104.