Least Common Multiple of 492/170, 5818/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/170, 5818/731 quickly i.e. 1431228/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/170, 5818/731 is 1431228/17.

LCM(492/170, 5818/731) = 1431228/17

LCM of 492/170, 5818/731

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 492/170,5818/731

Given numbers are 492/170,5818/731

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 492,5818

Least Common Multiple of Numerators i.e. LCM of 492,5818 is 1431228.

GCF of Denominators means GCF of 170,731 as per the given fractions.

GCF of 170,731 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,5818

LCM of Fractions 492/170,5818/731 is 1431228/17

2 492, 5818
246, 2909

∴ So the LCM of the given numbers is 2 x 246 x 2909 = 1431228

Least Common Multiple of 492,5818 with GCF Formula

Least Common Multiple of 492,5818 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 492,5818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,5818) = 2

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

GCF(492,5818) x common factors =2 x 1 = 2

LCM(492,5818) = ( 492 × 5818 ) / 2

LCM(492,5818) = 2862456 / 2

LCM(492,5818) = 1431228


Lets's calculate GCF of 170,731

17 170, 731
10, 43

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1431228/17

Therefore the LCM of Fractions 492/170,5818/731 is 1431228/17

Greatest Common Factor of 170,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,731 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 170,731 . The biggest common factor number is the GCF number.
So the greatest common factor 170,731 is 17.


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 492/170, 5818/731

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 492/170, 5818/731?

Answer: LCM of Numerators as per given numbers 492/170, 5818/731 is

LCM of Numerators i.e. for 492,5818 is 1431228

GCF of denominators i.e. for 170,731 is 17.

Thus, LCM of Fractions is 1431228/17.Finally, LCM of Fractions for 492/170, 5818/731 is 1431228/17.