Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2752/827, 6552/5003 quickly i.e. 2253888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2752/827, 6552/5003 is 2253888.
LCM(2752/827, 6552/5003) = 2253888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2752/827,6552/5003
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 2752,6552
Least Common Multiple of Numerators i.e. LCM of 2752,6552 is 2253888.
GCF of Denominators means GCF of 827,5003 as per the given fractions.
GCF of 827,5003 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2752,6552
2 | 2752, 6552 |
2 | 1376, 3276 |
2 | 688, 1638 |
344, 819 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 344 x 819 = 2253888
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 2752,6552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2752,6552) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(2752,6552) x common factors =8 x 1 = 8
LCM(2752,6552) = ( 2752 × 6552 ) / 8
LCM(2752,6552) = 18031104 / 8
LCM(2752,6552) = 2253888
Lets's calculate GCF of 827,5003
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2253888/1
Therefore the LCM of Fractions 2752/827,6552/5003 is 2253888
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Factors of 5003
List of positive integer factors of 5003 that divides 5003 without a remainder.
1,5003
Greatest Common Factor
We found the factors 827,5003 . The biggest common factor number is the GCF number.
So the greatest common factor 827,5003 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 2752/827, 6552/5003?
Answer: LCM of Numerators as per given numbers 2752/827, 6552/5003 is
LCM of Numerators i.e. for 2752,6552 is 2253888
GCF of denominators i.e. for 827,5003 is 1.
Thus, LCM of Fractions is 2253888.Finally, LCM of Fractions for 2752/827, 6552/5003 is 2253888.