Least Common Multiple of 688/234, 2992/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/234, 2992/345 quickly i.e. 128656/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/234, 2992/345 is 128656/3.

LCM(688/234, 2992/345) = 128656/3

LCM of 688/234, 2992/345

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 688/234,2992/345

Given numbers are 688/234,2992/345

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 688,2992

Least Common Multiple of Numerators i.e. LCM of 688,2992 is 128656.

GCF of Denominators means GCF of 234,345 as per the given fractions.

GCF of 234,345 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,2992

LCM of Fractions 688/234,2992/345 is 128656/3

2 688, 2992
2 344, 1496
2 172, 748
2 86, 374
43, 187

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 43 x 187 = 128656

Least Common Multiple of 688,2992 with GCF Formula

Least Common Multiple of 688,2992 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 688,2992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,2992) = 16

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

GCF(688,2992) x common factors =16 x 1 = 16

LCM(688,2992) = ( 688 × 2992 ) / 16

LCM(688,2992) = 2058496 / 16

LCM(688,2992) = 128656


Lets's calculate GCF of 234,345

3 234, 345
78, 115

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128656/3

Therefore the LCM of Fractions 688/234,2992/345 is 128656/3

Greatest Common Factor of 234,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,345 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 234,345 . The biggest common factor number is the GCF number.
So the greatest common factor 234,345 is 3.


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 688/234, 2992/345

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 688/234, 2992/345?

Answer: LCM of Numerators as per given numbers 688/234, 2992/345 is

LCM of Numerators i.e. for 688,2992 is 128656

GCF of denominators i.e. for 234,345 is 3.

Thus, LCM of Fractions is 128656/3.Finally, LCM of Fractions for 688/234, 2992/345 is 128656/3.