Least Common Multiple of 3223/185, 3773/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3223/185, 3773/141 quickly i.e. 1105489 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3223/185, 3773/141 is 1105489.

LCM(3223/185, 3773/141) = 1105489

LCM of 3223/185, 3773/141

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 3223/185,3773/141

Given numbers are 3223/185,3773/141

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 3223,3773

Least Common Multiple of Numerators i.e. LCM of 3223,3773 is 1105489.

GCF of Denominators means GCF of 185,141 as per the given fractions.

GCF of 185,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3223,3773

LCM of Fractions 3223/185,3773/141 is 1105489

11 3223, 3773
293, 343

∴ So the LCM of the given numbers is 11 x 293 x 343 = 1105489

Least Common Multiple of 3223,3773 with GCF Formula

Least Common Multiple of 3223,3773 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 3223,3773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3223,3773) = 11

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

GCF(3223,3773) x common factors =11 x 1 = 11

LCM(3223,3773) = ( 3223 × 3773 ) / 11

LCM(3223,3773) = 12160379 / 11

LCM(3223,3773) = 1105489


Lets's calculate GCF of 185,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1105489/1

Therefore the LCM of Fractions 3223/185,3773/141 is 1105489

Greatest Common Factor of 185,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,141 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 185,141 . The biggest common factor number is the GCF number.
So the greatest common factor 185,141 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3223/185, 3773/141

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 3223/185, 3773/141?

Answer: LCM of Numerators as per given numbers 3223/185, 3773/141 is

LCM of Numerators i.e. for 3223,3773 is 1105489

GCF of denominators i.e. for 185,141 is 1.

Thus, LCM of Fractions is 1105489.Finally, LCM of Fractions for 3223/185, 3773/141 is 1105489.