Least Common Multiple of 188/102, 3622/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 188/102, 3622/343 quickly i.e. 340468 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 188/102, 3622/343 is 340468.

LCM(188/102, 3622/343) = 340468

LCM of 188/102, 3622/343

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 188/102,3622/343

Given numbers are 188/102,3622/343

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 188,3622

Least Common Multiple of Numerators i.e. LCM of 188,3622 is 340468.

GCF of Denominators means GCF of 102,343 as per the given fractions.

GCF of 102,343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 188,3622

LCM of Fractions 188/102,3622/343 is 340468

2 188, 3622
94, 1811

∴ So the LCM of the given numbers is 2 x 94 x 1811 = 340468

Least Common Multiple of 188,3622 with GCF Formula

Least Common Multiple of 188,3622 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 188,3622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,3622) = 2

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

GCF(188,3622) x common factors =2 x 1 = 2

LCM(188,3622) = ( 188 × 3622 ) / 2

LCM(188,3622) = 680936 / 2

LCM(188,3622) = 340468


Lets's calculate GCF of 102,343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 340468/1

Therefore the LCM of Fractions 188/102,3622/343 is 340468

Greatest Common Factor of 102,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,343 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 102,343 . The biggest common factor number is the GCF number.
So the greatest common factor 102,343 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 188/102, 3622/343

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 188/102, 3622/343?

Answer: LCM of Numerators as per given numbers 188/102, 3622/343 is

LCM of Numerators i.e. for 188,3622 is 340468

GCF of denominators i.e. for 102,343 is 1.

Thus, LCM of Fractions is 340468.Finally, LCM of Fractions for 188/102, 3622/343 is 340468.