Least Common Multiple of 429/734, 4608/3267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 429/734, 4608/3267 quickly i.e. 658944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 429/734, 4608/3267 is 658944.

LCM(429/734, 4608/3267) = 658944

LCM of 429/734, 4608/3267

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 429/734,4608/3267

Given numbers are 429/734,4608/3267

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 429,4608

Least Common Multiple of Numerators i.e. LCM of 429,4608 is 658944.

GCF of Denominators means GCF of 734,3267 as per the given fractions.

GCF of 734,3267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 429,4608

LCM of Fractions 429/734,4608/3267 is 658944

3 429, 4608
143, 1536

∴ So the LCM of the given numbers is 3 x 143 x 1536 = 658944

Least Common Multiple of 429,4608 with GCF Formula

Least Common Multiple of 429,4608 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 429,4608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,4608) = 3

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

GCF(429,4608) x common factors =3 x 1 = 3

LCM(429,4608) = ( 429 × 4608 ) / 3

LCM(429,4608) = 1976832 / 3

LCM(429,4608) = 658944


Lets's calculate GCF of 734,3267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 658944/1

Therefore the LCM of Fractions 429/734,4608/3267 is 658944

Greatest Common Factor of 734,3267 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,3267 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 3267

List of positive integer factors of 3267 that divides 3267 without a remainder.

1,3,9,11,27,33,99,121,297,363,1089,3267

Greatest Common Factor

We found the factors 734,3267 . The biggest common factor number is the GCF number.
So the greatest common factor 734,3267 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 429/734, 4608/3267

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 429/734, 4608/3267?

Answer: LCM of Numerators as per given numbers 429/734, 4608/3267 is

LCM of Numerators i.e. for 429,4608 is 658944

GCF of denominators i.e. for 734,3267 is 1.

Thus, LCM of Fractions is 658944.Finally, LCM of Fractions for 429/734, 4608/3267 is 658944.