Least Common Multiple of 688/236, 497/479, 242/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/236, 497/479, 242/592 quickly i.e. 41374256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/236, 497/479, 242/592 is 41374256.

LCM(688/236, 497/479, 242/592) = 41374256

LCM of 688/236, 497/479, 242/592

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 688/236,497/479,242/592

Given numbers are 688/236,497/479,242/592

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 688,497,242

Least Common Multiple of Numerators i.e. LCM of 688,497,242 is 41374256.

GCF of Denominators means GCF of 236,479,592 as per the given fractions.

GCF of 236,479,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,497,242

LCM of Fractions 688/236,497/479,242/592 is 41374256

2 688, 497, 242
344, 497, 121

∴ So the LCM of the given numbers is 2 x 344 x 497 x 121 = 41374256

Least Common Multiple of 688,497,242 with GCF Formula

Least Common Multiple of 688,497,242 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 688,497,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,497,242) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(688,497,242) x common factors =1 x 2 = 2

LCM(688,497,242) = ( 688 × 497 × 242 ) / 2

LCM(688,497,242) = 82748512 / 2

LCM(688,497,242) = 41374256


Lets's calculate GCF of 236,479,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41374256/1

Therefore the LCM of Fractions 688/236,497/479,242/592 is 41374256

Greatest Common Factor of 236,479,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,479,592 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

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

Greatest Common Factor

We found the factors 236,479,592 . The biggest common factor number is the GCF number.
So the greatest common factor 236,479,592 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 688/236, 497/479, 242/592

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 688/236, 497/479, 242/592?

Answer: LCM of Numerators as per given numbers 688/236, 497/479, 242/592 is

LCM of Numerators i.e. for 688,497,242 is 41374256

GCF of denominators i.e. for 236,479,592 is 1.

Thus, LCM of Fractions is 41374256.Finally, LCM of Fractions for 688/236, 497/479, 242/592 is 41374256.