Least Common Multiple of 3763/457, 4733/1643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3763/457, 4733/1643 quickly i.e. 17810279 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3763/457, 4733/1643 is 17810279.

LCM(3763/457, 4733/1643) = 17810279

LCM of 3763/457, 4733/1643

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 3763/457,4733/1643

Given numbers are 3763/457,4733/1643

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 3763,4733

Least Common Multiple of Numerators i.e. LCM of 3763,4733 is 17810279.

GCF of Denominators means GCF of 457,1643 as per the given fractions.

GCF of 457,1643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3763,4733

LCM of Fractions 3763/457,4733/1643 is 17810279

Given numbers has no common factors except 1. So, there LCM is their product i.e 17810279

Least Common Multiple of 3763,4733 with GCF Formula

Least Common Multiple of 3763,4733 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 3763,4733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3763,4733) = 1

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

GCF(3763,4733) x common factors =1 x 1 = 1

LCM(3763,4733) = ( 3763 × 4733 ) / 1

LCM(3763,4733) = 17810279 / 1

LCM(3763,4733) = 17810279


Lets's calculate GCF of 457,1643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17810279/1

Therefore the LCM of Fractions 3763/457,4733/1643 is 17810279

Greatest Common Factor of 457,1643 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,1643 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 1643

List of positive integer factors of 1643 that divides 1643 without a remainder.

1,31,53,1643

Greatest Common Factor

We found the factors 457,1643 . The biggest common factor number is the GCF number.
So the greatest common factor 457,1643 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 3763/457, 4733/1643

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 3763/457, 4733/1643?

Answer: LCM of Numerators as per given numbers 3763/457, 4733/1643 is

LCM of Numerators i.e. for 3763,4733 is 17810279

GCF of denominators i.e. for 457,1643 is 1.

Thus, LCM of Fractions is 17810279.Finally, LCM of Fractions for 3763/457, 4733/1643 is 17810279.