Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 752/10, 944/31, 832/544 quickly i.e. 2307136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 752/10, 944/31, 832/544 is 2307136.
LCM(752/10, 944/31, 832/544) = 2307136
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 752/10,944/31,832/544
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 752,944,832
Least Common Multiple of Numerators i.e. LCM of 752,944,832 is 2307136.
GCF of Denominators means GCF of 10,31,544 as per the given fractions.
GCF of 10,31,544 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 752,944,832
2 | 752, 944, 832 |
2 | 376, 472, 416 |
2 | 188, 236, 208 |
2 | 94, 118, 104 |
47, 59, 52 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 47 x 59 x 52 = 2307136
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 752,944,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,944,832) = 16
common factors(in case of two or more numbers have common factors) = 16
GCF(752,944,832) x common factors =16 x 16 = 256
LCM(752,944,832) = ( 752 × 944 × 832 ) / 256
LCM(752,944,832) = 590626816 / 256
LCM(752,944,832) = 2307136
Lets's calculate GCF of 10,31,544
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2307136/1
Therefore the LCM of Fractions 752/10,944/31,832/544 is 2307136
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 10,31,544 . The biggest common factor number is the GCF number.
So the greatest common factor 10,31,544 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 752/10, 944/31, 832/544?
Answer: LCM of Numerators as per given numbers 752/10, 944/31, 832/544 is
LCM of Numerators i.e. for 752,944,832 is 2307136
GCF of denominators i.e. for 10,31,544 is 1.
Thus, LCM of Fractions is 2307136.Finally, LCM of Fractions for 752/10, 944/31, 832/544 is 2307136.