Least Common Multiple of 344/68, 141/3832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/68, 141/3832 quickly i.e. 12126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/68, 141/3832 is 12126.

LCM(344/68, 141/3832) = 12126

LCM of 344/68, 141/3832

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 344/68,141/3832

Given numbers are 344/68,141/3832

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 344,141

Least Common Multiple of Numerators i.e. LCM of 344,141 is 48504.

GCF of Denominators means GCF of 68,3832 as per the given fractions.

GCF of 68,3832 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,141

LCM of Fractions 344/68,141/3832 is 12126

Given numbers has no common factors except 1. So, there LCM is their product i.e 48504

Least Common Multiple of 344,141 with GCF Formula

Least Common Multiple of 344,141 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 344,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,141) = 1

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

GCF(344,141) x common factors =1 x 1 = 1

LCM(344,141) = ( 344 × 141 ) / 1

LCM(344,141) = 48504 / 1

LCM(344,141) = 48504


Lets's calculate GCF of 68,3832

2 68, 3832
2 34, 1916
17, 958

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48504/4

Therefore the LCM of Fractions 344/68,141/3832 is 12126

Greatest Common Factor of 68,3832 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,3832 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 3832

List of positive integer factors of 3832 that divides 3832 without a remainder.

1,2,4,8,479,958,1916,3832

Greatest Common Factor

We found the factors 68,3832 . The biggest common factor number is the GCF number.
So the greatest common factor 68,3832 is 4.


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 344/68, 141/3832

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 344/68, 141/3832?

Answer: LCM of Numerators as per given numbers 344/68, 141/3832 is

LCM of Numerators i.e. for 344,141 is 48504

GCF of denominators i.e. for 68,3832 is 4.

Thus, LCM of Fractions is 12126.Finally, LCM of Fractions for 344/68, 141/3832 is 12126.