Least Common Multiple of 192/344, 3830/7144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 192/344, 3830/7144 quickly i.e. 45960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 192/344, 3830/7144 is 45960.

LCM(192/344, 3830/7144) = 45960

LCM of 192/344, 3830/7144

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 192/344,3830/7144

Given numbers are 192/344,3830/7144

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 192,3830

Least Common Multiple of Numerators i.e. LCM of 192,3830 is 367680.

GCF of Denominators means GCF of 344,7144 as per the given fractions.

GCF of 344,7144 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 192,3830

LCM of Fractions 192/344,3830/7144 is 45960

2 192, 3830
96, 1915

∴ So the LCM of the given numbers is 2 x 96 x 1915 = 367680

Least Common Multiple of 192,3830 with GCF Formula

Least Common Multiple of 192,3830 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 192,3830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,3830) = 2

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

GCF(192,3830) x common factors =2 x 1 = 2

LCM(192,3830) = ( 192 × 3830 ) / 2

LCM(192,3830) = 735360 / 2

LCM(192,3830) = 367680


Lets's calculate GCF of 344,7144

2 344, 7144
2 172, 3572
2 86, 1786
43, 893

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367680/8

Therefore the LCM of Fractions 192/344,3830/7144 is 45960

Greatest Common Factor of 344,7144 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,7144 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 7144

List of positive integer factors of 7144 that divides 7144 without a remainder.

1,2,4,8,19,38,47,76,94,152,188,376,893,1786,3572,7144

Greatest Common Factor

We found the factors 344,7144 . The biggest common factor number is the GCF number.
So the greatest common factor 344,7144 is 8.


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 192/344, 3830/7144

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 192/344, 3830/7144?

Answer: LCM of Numerators as per given numbers 192/344, 3830/7144 is

LCM of Numerators i.e. for 192,3830 is 367680

GCF of denominators i.e. for 344,7144 is 8.

Thus, LCM of Fractions is 45960.Finally, LCM of Fractions for 192/344, 3830/7144 is 45960.