Least Common Multiple of 188/654, 9324/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 188/654, 9324/830 quickly i.e. 219114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 188/654, 9324/830 is 219114.

LCM(188/654, 9324/830) = 219114

LCM of 188/654, 9324/830

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 188/654,9324/830

Given numbers are 188/654,9324/830

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 188,9324

Least Common Multiple of Numerators i.e. LCM of 188,9324 is 438228.

GCF of Denominators means GCF of 654,830 as per the given fractions.

GCF of 654,830 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 188,9324

LCM of Fractions 188/654,9324/830 is 219114

2 188, 9324
2 94, 4662
47, 2331

∴ So the LCM of the given numbers is 2 x 2 x 47 x 2331 = 438228

Least Common Multiple of 188,9324 with GCF Formula

Least Common Multiple of 188,9324 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 188,9324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,9324) = 4

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

GCF(188,9324) x common factors =4 x 1 = 4

LCM(188,9324) = ( 188 × 9324 ) / 4

LCM(188,9324) = 1752912 / 4

LCM(188,9324) = 438228


Lets's calculate GCF of 654,830

2 654, 830
327, 415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438228/2

Therefore the LCM of Fractions 188/654,9324/830 is 219114

Greatest Common Factor of 654,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,830 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 654,830 . The biggest common factor number is the GCF number.
So the greatest common factor 654,830 is 2.


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 188/654, 9324/830

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 188/654, 9324/830?

Answer: LCM of Numerators as per given numbers 188/654, 9324/830 is

LCM of Numerators i.e. for 188,9324 is 438228

GCF of denominators i.e. for 654,830 is 2.

Thus, LCM of Fractions is 219114.Finally, LCM of Fractions for 188/654, 9324/830 is 219114.