Least Common Multiple of 677/592, 3457/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 677/592, 3457/656 quickly i.e. 2340389/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 677/592, 3457/656 is 2340389/16.

LCM(677/592, 3457/656) = 2340389/16

LCM of 677/592, 3457/656

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 677/592,3457/656

Given numbers are 677/592,3457/656

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 677,3457

Least Common Multiple of Numerators i.e. LCM of 677,3457 is 2340389.

GCF of Denominators means GCF of 592,656 as per the given fractions.

GCF of 592,656 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 677,3457

LCM of Fractions 677/592,3457/656 is 2340389/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 2340389

Least Common Multiple of 677,3457 with GCF Formula

Least Common Multiple of 677,3457 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 677,3457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,3457) = 1

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

GCF(677,3457) x common factors =1 x 1 = 1

LCM(677,3457) = ( 677 × 3457 ) / 1

LCM(677,3457) = 2340389 / 1

LCM(677,3457) = 2340389


Lets's calculate GCF of 592,656

2 592, 656
2 296, 328
2 148, 164
2 74, 82
37, 41

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2340389/16

Therefore the LCM of Fractions 677/592,3457/656 is 2340389/16

Greatest Common Factor of 592,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,656 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 592,656 . The biggest common factor number is the GCF number.
So the greatest common factor 592,656 is 16.


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 677/592, 3457/656

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 677/592, 3457/656?

Answer: LCM of Numerators as per given numbers 677/592, 3457/656 is

LCM of Numerators i.e. for 677,3457 is 2340389

GCF of denominators i.e. for 592,656 is 16.

Thus, LCM of Fractions is 2340389/16.Finally, LCM of Fractions for 677/592, 3457/656 is 2340389/16.