Least Common Multiple of 7728/649, 1474/7737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7728/649, 1474/7737 quickly i.e. 5695536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7728/649, 1474/7737 is 5695536.

LCM(7728/649, 1474/7737) = 5695536

LCM of 7728/649, 1474/7737

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 7728/649,1474/7737

Given numbers are 7728/649,1474/7737

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 7728,1474

Least Common Multiple of Numerators i.e. LCM of 7728,1474 is 5695536.

GCF of Denominators means GCF of 649,7737 as per the given fractions.

GCF of 649,7737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7728,1474

LCM of Fractions 7728/649,1474/7737 is 5695536

2 7728, 1474
3864, 737

∴ So the LCM of the given numbers is 2 x 3864 x 737 = 5695536

Least Common Multiple of 7728,1474 with GCF Formula

Least Common Multiple of 7728,1474 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 7728,1474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7728,1474) = 2

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

GCF(7728,1474) x common factors =2 x 1 = 2

LCM(7728,1474) = ( 7728 × 1474 ) / 2

LCM(7728,1474) = 11391072 / 2

LCM(7728,1474) = 5695536


Lets's calculate GCF of 649,7737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5695536/1

Therefore the LCM of Fractions 7728/649,1474/7737 is 5695536

Greatest Common Factor of 649,7737 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,7737 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 7737

List of positive integer factors of 7737 that divides 7737 without a remainder.

1,3,2579,7737

Greatest Common Factor

We found the factors 649,7737 . The biggest common factor number is the GCF number.
So the greatest common factor 649,7737 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 7728/649, 1474/7737

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 7728/649, 1474/7737?

Answer: LCM of Numerators as per given numbers 7728/649, 1474/7737 is

LCM of Numerators i.e. for 7728,1474 is 5695536

GCF of denominators i.e. for 649,7737 is 1.

Thus, LCM of Fractions is 5695536.Finally, LCM of Fractions for 7728/649, 1474/7737 is 5695536.