Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/833, 4308/7754 quickly i.e. 56004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/833, 4308/7754 is 56004.
LCM(52/833, 4308/7754) = 56004
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/833,4308/7754
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 52,4308
Least Common Multiple of Numerators i.e. LCM of 52,4308 is 56004.
GCF of Denominators means GCF of 833,7754 as per the given fractions.
GCF of 833,7754 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,4308
2 | 52, 4308 |
2 | 26, 2154 |
13, 1077 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 1077 = 56004
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 52,4308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,4308) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(52,4308) x common factors =4 x 1 = 4
LCM(52,4308) = ( 52 × 4308 ) / 4
LCM(52,4308) = 224016 / 4
LCM(52,4308) = 56004
Lets's calculate GCF of 833,7754
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56004/1
Therefore the LCM of Fractions 52/833,4308/7754 is 56004
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 7754
List of positive integer factors of 7754 that divides 7754 without a remainder.
1,2,3877,7754
Greatest Common Factor
We found the factors 833,7754 . The biggest common factor number is the GCF number.
So the greatest common factor 833,7754 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 52/833, 4308/7754?
Answer: LCM of Numerators as per given numbers 52/833, 4308/7754 is
LCM of Numerators i.e. for 52,4308 is 56004
GCF of denominators i.e. for 833,7754 is 1.
Thus, LCM of Fractions is 56004.Finally, LCM of Fractions for 52/833, 4308/7754 is 56004.