Least Common Multiple of 1264/578, 3642/4493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1264/578, 3642/4493 quickly i.e. 2301744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1264/578, 3642/4493 is 2301744.

LCM(1264/578, 3642/4493) = 2301744

LCM of 1264/578, 3642/4493

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 1264/578,3642/4493

Given numbers are 1264/578,3642/4493

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 1264,3642

Least Common Multiple of Numerators i.e. LCM of 1264,3642 is 2301744.

GCF of Denominators means GCF of 578,4493 as per the given fractions.

GCF of 578,4493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1264,3642

LCM of Fractions 1264/578,3642/4493 is 2301744

2 1264, 3642
632, 1821

∴ So the LCM of the given numbers is 2 x 632 x 1821 = 2301744

Least Common Multiple of 1264,3642 with GCF Formula

Least Common Multiple of 1264,3642 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 1264,3642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1264,3642) = 2

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

GCF(1264,3642) x common factors =2 x 1 = 2

LCM(1264,3642) = ( 1264 × 3642 ) / 2

LCM(1264,3642) = 4603488 / 2

LCM(1264,3642) = 2301744


Lets's calculate GCF of 578,4493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2301744/1

Therefore the LCM of Fractions 1264/578,3642/4493 is 2301744

Greatest Common Factor of 578,4493 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,4493 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 4493

List of positive integer factors of 4493 that divides 4493 without a remainder.

1,4493

Greatest Common Factor

We found the factors 578,4493 . The biggest common factor number is the GCF number.
So the greatest common factor 578,4493 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 1264/578, 3642/4493

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 1264/578, 3642/4493?

Answer: LCM of Numerators as per given numbers 1264/578, 3642/4493 is

LCM of Numerators i.e. for 1264,3642 is 2301744

GCF of denominators i.e. for 578,4493 is 1.

Thus, LCM of Fractions is 2301744.Finally, LCM of Fractions for 1264/578, 3642/4493 is 2301744.