Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/832, 40/765, 849/978 quickly i.e. 67920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/832, 40/765, 849/978 is 67920.
LCM(48/832, 40/765, 849/978) = 67920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/832,40/765,849/978
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 48,40,849
Least Common Multiple of Numerators i.e. LCM of 48,40,849 is 67920.
GCF of Denominators means GCF of 832,765,978 as per the given fractions.
GCF of 832,765,978 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,40,849
2 | 48, 40, 849 |
2 | 24, 20, 849 |
2 | 12, 10, 849 |
3 | 6, 5, 849 |
2, 5, 283 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 5 x 283 = 67920
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 48,40,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,40,849) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(48,40,849) x common factors =1 x 24 = 24
LCM(48,40,849) = ( 48 × 40 × 849 ) / 24
LCM(48,40,849) = 1630080 / 24
LCM(48,40,849) = 67920
Lets's calculate GCF of 832,765,978
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67920/1
Therefore the LCM of Fractions 48/832,40/765,849/978 is 67920
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Greatest Common Factor
We found the factors 832,765,978 . The biggest common factor number is the GCF number.
So the greatest common factor 832,765,978 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 48/832, 40/765, 849/978?
Answer: LCM of Numerators as per given numbers 48/832, 40/765, 849/978 is
LCM of Numerators i.e. for 48,40,849 is 67920
GCF of denominators i.e. for 832,765,978 is 1.
Thus, LCM of Fractions is 67920.Finally, LCM of Fractions for 48/832, 40/765, 849/978 is 67920.