Least Common Multiple of 492/117, 682/300, 427/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/117, 682/300, 427/365 quickly i.e. 71638644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/117, 682/300, 427/365 is 71638644.

LCM(492/117, 682/300, 427/365) = 71638644

LCM of 492/117, 682/300, 427/365

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 492/117,682/300,427/365

Given numbers are 492/117,682/300,427/365

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 492,682,427

Least Common Multiple of Numerators i.e. LCM of 492,682,427 is 71638644.

GCF of Denominators means GCF of 117,300,365 as per the given fractions.

GCF of 117,300,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,682,427

LCM of Fractions 492/117,682/300,427/365 is 71638644

2 492, 682, 427
246, 341, 427

∴ So the LCM of the given numbers is 2 x 246 x 341 x 427 = 71638644

Least Common Multiple of 492,682,427 with GCF Formula

Least Common Multiple of 492,682,427 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 492,682,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,682,427) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(492,682,427) x common factors =1 x 2 = 2

LCM(492,682,427) = ( 492 × 682 × 427 ) / 2

LCM(492,682,427) = 143277288 / 2

LCM(492,682,427) = 71638644


Lets's calculate GCF of 117,300,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71638644/1

Therefore the LCM of Fractions 492/117,682/300,427/365 is 71638644

Greatest Common Factor of 117,300,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,300,365 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 117,300,365 . The biggest common factor number is the GCF number.
So the greatest common factor 117,300,365 is 1.


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 492/117, 682/300, 427/365

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 492/117, 682/300, 427/365?

Answer: LCM of Numerators as per given numbers 492/117, 682/300, 427/365 is

LCM of Numerators i.e. for 492,682,427 is 71638644

GCF of denominators i.e. for 117,300,365 is 1.

Thus, LCM of Fractions is 71638644.Finally, LCM of Fractions for 492/117, 682/300, 427/365 is 71638644.