Least Common Multiple of 538/649, 7704/7012

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 538/649, 7704/7012 quickly i.e. 2072376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 538/649, 7704/7012 is 2072376.

LCM(538/649, 7704/7012) = 2072376

LCM of 538/649, 7704/7012

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 538/649,7704/7012

Given numbers are 538/649,7704/7012

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 538,7704

Least Common Multiple of Numerators i.e. LCM of 538,7704 is 2072376.

GCF of Denominators means GCF of 649,7012 as per the given fractions.

GCF of 649,7012 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 538,7704

LCM of Fractions 538/649,7704/7012 is 2072376

2 538, 7704
269, 3852

∴ So the LCM of the given numbers is 2 x 269 x 3852 = 2072376

Least Common Multiple of 538,7704 with GCF Formula

Least Common Multiple of 538,7704 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 538,7704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,7704) = 2

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

GCF(538,7704) x common factors =2 x 1 = 2

LCM(538,7704) = ( 538 × 7704 ) / 2

LCM(538,7704) = 4144752 / 2

LCM(538,7704) = 2072376


Lets's calculate GCF of 649,7012

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2072376/1

Therefore the LCM of Fractions 538/649,7704/7012 is 2072376

Greatest Common Factor of 649,7012 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,7012 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 7012

List of positive integer factors of 7012 that divides 7012 without a remainder.

1,2,4,1753,3506,7012

Greatest Common Factor

We found the factors 649,7012 . The biggest common factor number is the GCF number.
So the greatest common factor 649,7012 is 1.


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 538/649, 7704/7012

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 538/649, 7704/7012?

Answer: LCM of Numerators as per given numbers 538/649, 7704/7012 is

LCM of Numerators i.e. for 538,7704 is 2072376

GCF of denominators i.e. for 649,7012 is 1.

Thus, LCM of Fractions is 2072376.Finally, LCM of Fractions for 538/649, 7704/7012 is 2072376.