Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/703, 754/795, 696/640 quickly i.e. 244296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/703, 754/795, 696/640 is 244296.
LCM(81/703, 754/795, 696/640) = 244296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/703,754/795,696/640
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 81,754,696
Least Common Multiple of Numerators i.e. LCM of 81,754,696 is 244296.
GCF of Denominators means GCF of 703,795,640 as per the given fractions.
GCF of 703,795,640 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,754,696
2 | 81, 754, 696 |
3 | 81, 377, 348 |
29 | 27, 377, 116 |
27, 13, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 27 x 13 x 4 = 244296
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 81,754,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,754,696) = 1
common factors(in case of two or more numbers have common factors) = 174
GCF(81,754,696) x common factors =1 x 174 = 174
LCM(81,754,696) = ( 81 × 754 × 696 ) / 174
LCM(81,754,696) = 42507504 / 174
LCM(81,754,696) = 244296
Lets's calculate GCF of 703,795,640
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244296/1
Therefore the LCM of Fractions 81/703,754/795,696/640 is 244296
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 703,795,640 . The biggest common factor number is the GCF number.
So the greatest common factor 703,795,640 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 81/703, 754/795, 696/640?
Answer: LCM of Numerators as per given numbers 81/703, 754/795, 696/640 is
LCM of Numerators i.e. for 81,754,696 is 244296
GCF of denominators i.e. for 703,795,640 is 1.
Thus, LCM of Fractions is 244296.Finally, LCM of Fractions for 81/703, 754/795, 696/640 is 244296.