Least Common Multiple of 312/484, 433/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/484, 433/889 quickly i.e. 135096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/484, 433/889 is 135096.

LCM(312/484, 433/889) = 135096

LCM of 312/484, 433/889

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 312/484,433/889

Given numbers are 312/484,433/889

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 312,433

Least Common Multiple of Numerators i.e. LCM of 312,433 is 135096.

GCF of Denominators means GCF of 484,889 as per the given fractions.

GCF of 484,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,433

LCM of Fractions 312/484,433/889 is 135096

Given numbers has no common factors except 1. So, there LCM is their product i.e 135096

Least Common Multiple of 312,433 with GCF Formula

Least Common Multiple of 312,433 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 312,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,433) = 1

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

GCF(312,433) x common factors =1 x 1 = 1

LCM(312,433) = ( 312 × 433 ) / 1

LCM(312,433) = 135096 / 1

LCM(312,433) = 135096


Lets's calculate GCF of 484,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135096/1

Therefore the LCM of Fractions 312/484,433/889 is 135096

Greatest Common Factor of 484,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,889 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 484,889 . The biggest common factor number is the GCF number.
So the greatest common factor 484,889 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 312/484, 433/889

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 312/484, 433/889?

Answer: LCM of Numerators as per given numbers 312/484, 433/889 is

LCM of Numerators i.e. for 312,433 is 135096

GCF of denominators i.e. for 484,889 is 1.

Thus, LCM of Fractions is 135096.Finally, LCM of Fractions for 312/484, 433/889 is 135096.