Least Common Multiple of 492/483, 648/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/483, 648/372 quickly i.e. 8856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/483, 648/372 is 8856.

LCM(492/483, 648/372) = 8856

LCM of 492/483, 648/372

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 492/483,648/372

Given numbers are 492/483,648/372

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 492,648

Least Common Multiple of Numerators i.e. LCM of 492,648 is 26568.

GCF of Denominators means GCF of 483,372 as per the given fractions.

GCF of 483,372 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,648

LCM of Fractions 492/483,648/372 is 8856

2 492, 648
2 246, 324
3 123, 162
41, 54

∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 54 = 26568

Least Common Multiple of 492,648 with GCF Formula

Least Common Multiple of 492,648 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 492,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,648) = 12

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

GCF(492,648) x common factors =12 x 1 = 12

LCM(492,648) = ( 492 × 648 ) / 12

LCM(492,648) = 318816 / 12

LCM(492,648) = 26568


Lets's calculate GCF of 483,372

3 483, 372
161, 124

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26568/3

Therefore the LCM of Fractions 492/483,648/372 is 8856

Greatest Common Factor of 483,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,372 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 483,372 . The biggest common factor number is the GCF number.
So the greatest common factor 483,372 is 3.


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 492/483, 648/372

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 492/483, 648/372?

Answer: LCM of Numerators as per given numbers 492/483, 648/372 is

LCM of Numerators i.e. for 492,648 is 26568

GCF of denominators i.e. for 483,372 is 3.

Thus, LCM of Fractions is 8856.Finally, LCM of Fractions for 492/483, 648/372 is 8856.