Least Common Multiple of 185/574, 882/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 185/574, 882/492 quickly i.e. 163170/82 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 185/574, 882/492 is 163170/82.

LCM(185/574, 882/492) = 163170/82

LCM of 185/574, 882/492

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 185/574,882/492

Given numbers are 185/574,882/492

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 185,882

Least Common Multiple of Numerators i.e. LCM of 185,882 is 163170.

GCF of Denominators means GCF of 574,492 as per the given fractions.

GCF of 574,492 is 82 as it is the largest common factor for these numbers.

Lets's calculate LCM of 185,882

LCM of Fractions 185/574,882/492 is 163170/82

Given numbers has no common factors except 1. So, there LCM is their product i.e 163170

Least Common Multiple of 185,882 with GCF Formula

Least Common Multiple of 185,882 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 185,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,882) = 1

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

GCF(185,882) x common factors =1 x 1 = 1

LCM(185,882) = ( 185 × 882 ) / 1

LCM(185,882) = 163170 / 1

LCM(185,882) = 163170


Lets's calculate GCF of 574,492

2 574, 492
41 287, 246
7, 6

∴ So the GCF of the given numbers is 2 x 41 = 82

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163170/82

Therefore the LCM of Fractions 185/574,882/492 is 163170/82

Greatest Common Factor of 574,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,492 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 574,492 . The biggest common factor number is the GCF number.
So the greatest common factor 574,492 is 82.


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 185/574, 882/492

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 185/574, 882/492?

Answer: LCM of Numerators as per given numbers 185/574, 882/492 is

LCM of Numerators i.e. for 185,882 is 163170

GCF of denominators i.e. for 574,492 is 82.

Thus, LCM of Fractions is 163170/82.Finally, LCM of Fractions for 185/574, 882/492 is 163170/82.