Least Common Multiple of 6457/384, 7735/5888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6457/384, 7735/5888 quickly i.e. 49944895/128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6457/384, 7735/5888 is 49944895/128.

LCM(6457/384, 7735/5888) = 49944895/128

LCM of 6457/384, 7735/5888

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 6457/384,7735/5888

Given numbers are 6457/384,7735/5888

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 6457,7735

Least Common Multiple of Numerators i.e. LCM of 6457,7735 is 49944895.

GCF of Denominators means GCF of 384,5888 as per the given fractions.

GCF of 384,5888 is 128 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6457,7735

LCM of Fractions 6457/384,7735/5888 is 49944895/128

Given numbers has no common factors except 1. So, there LCM is their product i.e 49944895

Least Common Multiple of 6457,7735 with GCF Formula

Least Common Multiple of 6457,7735 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 6457,7735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6457,7735) = 1

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

GCF(6457,7735) x common factors =1 x 1 = 1

LCM(6457,7735) = ( 6457 × 7735 ) / 1

LCM(6457,7735) = 49944895 / 1

LCM(6457,7735) = 49944895


Lets's calculate GCF of 384,5888

2 384, 5888
2 192, 2944
2 96, 1472
2 48, 736
2 24, 368
2 12, 184
2 6, 92
3, 46

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49944895/128

Therefore the LCM of Fractions 6457/384,7735/5888 is 49944895/128

Greatest Common Factor of 384,5888 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,5888 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 5888

List of positive integer factors of 5888 that divides 5888 without a remainder.

1,2,4,8,16,23,32,46,64,92,128,184,256,368,736,1472,2944,5888

Greatest Common Factor

We found the factors 384,5888 . The biggest common factor number is the GCF number.
So the greatest common factor 384,5888 is 128.


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 6457/384, 7735/5888

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 6457/384, 7735/5888?

Answer: LCM of Numerators as per given numbers 6457/384, 7735/5888 is

LCM of Numerators i.e. for 6457,7735 is 49944895

GCF of denominators i.e. for 384,5888 is 128.

Thus, LCM of Fractions is 49944895/128.Finally, LCM of Fractions for 6457/384, 7735/5888 is 49944895/128.