Least Common Multiple of 2752/827, 6552/5003

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

LCM of 2752/827, 6552/5003

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 2752/827,6552/5003

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

LCM of Fractions 2752/827,6552/5003 is 2253888

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

Least Common Multiple of 2752,6552 with GCF Formula

Least Common Multiple of 2752,6552 with GCF Formula

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

Greatest Common Factor of 827,5003 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,5003 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2752/827, 6552/5003

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.