Least Common Multiple of 345/235, 419/227, 188/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 345/235, 419/227, 188/885 quickly i.e. 27176340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/235, 419/227, 188/885 is 27176340.

LCM(345/235, 419/227, 188/885) = 27176340

LCM of 345/235, 419/227, 188/885

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 345/235,419/227,188/885

Given numbers are 345/235,419/227,188/885

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 345,419,188

Least Common Multiple of Numerators i.e. LCM of 345,419,188 is 27176340.

GCF of Denominators means GCF of 235,227,885 as per the given fractions.

GCF of 235,227,885 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,419,188

LCM of Fractions 345/235,419/227,188/885 is 27176340

Given numbers has no common factors except 1. So, there LCM is their product i.e 27176340

Least Common Multiple of 345,419,188 with GCF Formula

Least Common Multiple of 345,419,188 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 345,419,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,419,188) = 1

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

GCF(345,419,188) x common factors =1 x 1 = 1

LCM(345,419,188) = ( 345 × 419 × 188 ) / 1

LCM(345,419,188) = 27176340 / 1

LCM(345,419,188) = 27176340


Lets's calculate GCF of 235,227,885

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27176340/1

Therefore the LCM of Fractions 345/235,419/227,188/885 is 27176340

Greatest Common Factor of 235,227,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,227,885 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 235,227,885 . The biggest common factor number is the GCF number.
So the greatest common factor 235,227,885 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 345/235, 419/227, 188/885

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 345/235, 419/227, 188/885?

Answer: LCM of Numerators as per given numbers 345/235, 419/227, 188/885 is

LCM of Numerators i.e. for 345,419,188 is 27176340

GCF of denominators i.e. for 235,227,885 is 1.

Thus, LCM of Fractions is 27176340.Finally, LCM of Fractions for 345/235, 419/227, 188/885 is 27176340.