Least Common Multiple of 736/233, 4810/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 736/233, 4810/576 quickly i.e. 1770080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/233, 4810/576 is 1770080.

LCM(736/233, 4810/576) = 1770080

LCM of 736/233, 4810/576

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 736/233,4810/576

Given numbers are 736/233,4810/576

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 736,4810

Least Common Multiple of Numerators i.e. LCM of 736,4810 is 1770080.

GCF of Denominators means GCF of 233,576 as per the given fractions.

GCF of 233,576 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,4810

LCM of Fractions 736/233,4810/576 is 1770080

2 736, 4810
368, 2405

∴ So the LCM of the given numbers is 2 x 368 x 2405 = 1770080

Least Common Multiple of 736,4810 with GCF Formula

Least Common Multiple of 736,4810 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 736,4810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,4810) = 2

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

GCF(736,4810) x common factors =2 x 1 = 2

LCM(736,4810) = ( 736 × 4810 ) / 2

LCM(736,4810) = 3540160 / 2

LCM(736,4810) = 1770080


Lets's calculate GCF of 233,576

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1770080/1

Therefore the LCM of Fractions 736/233,4810/576 is 1770080

Greatest Common Factor of 233,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,576 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 233,576 . The biggest common factor number is the GCF number.
So the greatest common factor 233,576 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 736/233, 4810/576

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 736/233, 4810/576?

Answer: LCM of Numerators as per given numbers 736/233, 4810/576 is

LCM of Numerators i.e. for 736,4810 is 1770080

GCF of denominators i.e. for 233,576 is 1.

Thus, LCM of Fractions is 1770080.Finally, LCM of Fractions for 736/233, 4810/576 is 1770080.