Least Common Multiple of 3385/429, 3072/1464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3385/429, 3072/1464 quickly i.e. 3466240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3385/429, 3072/1464 is 3466240.

LCM(3385/429, 3072/1464) = 3466240

LCM of 3385/429, 3072/1464

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 3385/429,3072/1464

Given numbers are 3385/429,3072/1464

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 3385,3072

Least Common Multiple of Numerators i.e. LCM of 3385,3072 is 10398720.

GCF of Denominators means GCF of 429,1464 as per the given fractions.

GCF of 429,1464 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3385,3072

LCM of Fractions 3385/429,3072/1464 is 3466240

Given numbers has no common factors except 1. So, there LCM is their product i.e 10398720

Least Common Multiple of 3385,3072 with GCF Formula

Least Common Multiple of 3385,3072 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 3385,3072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3385,3072) = 1

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

GCF(3385,3072) x common factors =1 x 1 = 1

LCM(3385,3072) = ( 3385 × 3072 ) / 1

LCM(3385,3072) = 10398720 / 1

LCM(3385,3072) = 10398720


Lets's calculate GCF of 429,1464

3 429, 1464
143, 488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10398720/3

Therefore the LCM of Fractions 3385/429,3072/1464 is 3466240

Greatest Common Factor of 429,1464 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,1464 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 1464

List of positive integer factors of 1464 that divides 1464 without a remainder.

1,2,3,4,6,8,12,24,61,122,183,244,366,488,732,1464

Greatest Common Factor

We found the factors 429,1464 . The biggest common factor number is the GCF number.
So the greatest common factor 429,1464 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 3385/429, 3072/1464

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 3385/429, 3072/1464?

Answer: LCM of Numerators as per given numbers 3385/429, 3072/1464 is

LCM of Numerators i.e. for 3385,3072 is 10398720

GCF of denominators i.e. for 429,1464 is 3.

Thus, LCM of Fractions is 3466240.Finally, LCM of Fractions for 3385/429, 3072/1464 is 3466240.