Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 833/472, 649/767 quickly i.e. 9163 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 833/472, 649/767 is 9163.
LCM(833/472, 649/767) = 9163
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 833/472,649/767
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 833,649
Least Common Multiple of Numerators i.e. LCM of 833,649 is 540617.
GCF of Denominators means GCF of 472,767 as per the given fractions.
GCF of 472,767 is 59 as it is the largest common factor for these numbers.
Lets's calculate LCM of 833,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 540617
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 833,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,649) x common factors =1 x 1 = 1
LCM(833,649) = ( 833 × 649 ) / 1
LCM(833,649) = 540617 / 1
LCM(833,649) = 540617
Lets's calculate GCF of 472,767
59 | 472, 767 |
8, 13 |
∴ So the GCF of the given numbers is 59 = 59
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 540617/59
Therefore the LCM of Fractions 833/472,649/767 is 9163
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Greatest Common Factor
We found the factors 472,767 . The biggest common factor number is the GCF number.
So the greatest common factor 472,767 is 59.
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 833/472, 649/767?
Answer: LCM of Numerators as per given numbers 833/472, 649/767 is
LCM of Numerators i.e. for 833,649 is 540617
GCF of denominators i.e. for 472,767 is 59.
Thus, LCM of Fractions is 9163.Finally, LCM of Fractions for 833/472, 649/767 is 9163.