Least Common Multiple of 5168/252, 1239/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5168/252, 1239/584 quickly i.e. 1600788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5168/252, 1239/584 is 1600788.

LCM(5168/252, 1239/584) = 1600788

LCM of 5168/252, 1239/584

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 5168/252,1239/584

Given numbers are 5168/252,1239/584

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 5168,1239

Least Common Multiple of Numerators i.e. LCM of 5168,1239 is 6403152.

GCF of Denominators means GCF of 252,584 as per the given fractions.

GCF of 252,584 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5168,1239

LCM of Fractions 5168/252,1239/584 is 1600788

Given numbers has no common factors except 1. So, there LCM is their product i.e 6403152

Least Common Multiple of 5168,1239 with GCF Formula

Least Common Multiple of 5168,1239 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 5168,1239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5168,1239) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(5168,1239) x common factors =1 x 1 = 1

LCM(5168,1239) = ( 5168 × 1239 ) / 1

LCM(5168,1239) = 6403152 / 1

LCM(5168,1239) = 6403152


Lets's calculate GCF of 252,584

2 252, 584
2 126, 292
63, 146

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6403152/4

Therefore the LCM of Fractions 5168/252,1239/584 is 1600788

Greatest Common Factor of 252,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,584 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 252,584 . The biggest common factor number is the GCF number.
So the greatest common factor 252,584 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 5168/252, 1239/584

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 5168/252, 1239/584?

Answer: LCM of Numerators as per given numbers 5168/252, 1239/584 is

LCM of Numerators i.e. for 5168,1239 is 6403152

GCF of denominators i.e. for 252,584 is 4.

Thus, LCM of Fractions is 1600788.Finally, LCM of Fractions for 5168/252, 1239/584 is 1600788.