Least Common Multiple of 3686/468, 2204/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3686/468, 2204/185 quickly i.e. 213788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3686/468, 2204/185 is 213788.

LCM(3686/468, 2204/185) = 213788

LCM of 3686/468, 2204/185

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 3686/468,2204/185

Given numbers are 3686/468,2204/185

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 3686,2204

Least Common Multiple of Numerators i.e. LCM of 3686,2204 is 213788.

GCF of Denominators means GCF of 468,185 as per the given fractions.

GCF of 468,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3686,2204

LCM of Fractions 3686/468,2204/185 is 213788

2 3686, 2204
19 1843, 1102
97, 58

∴ So the LCM of the given numbers is 2 x 19 x 97 x 58 = 213788

Least Common Multiple of 3686,2204 with GCF Formula

Least Common Multiple of 3686,2204 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 3686,2204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3686,2204) = 38

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

GCF(3686,2204) x common factors =38 x 1 = 38

LCM(3686,2204) = ( 3686 × 2204 ) / 38

LCM(3686,2204) = 8123944 / 38

LCM(3686,2204) = 213788


Lets's calculate GCF of 468,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213788/1

Therefore the LCM of Fractions 3686/468,2204/185 is 213788

Greatest Common Factor of 468,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,185 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 185

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

1,5,37,185

Greatest Common Factor

We found the factors 468,185 . The biggest common factor number is the GCF number.
So the greatest common factor 468,185 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3686/468, 2204/185

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 3686/468, 2204/185?

Answer: LCM of Numerators as per given numbers 3686/468, 2204/185 is

LCM of Numerators i.e. for 3686,2204 is 213788

GCF of denominators i.e. for 468,185 is 1.

Thus, LCM of Fractions is 213788.Finally, LCM of Fractions for 3686/468, 2204/185 is 213788.