Least Common Multiple of 5046/263, 6943/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5046/263, 6943/284 quickly i.e. 35034378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5046/263, 6943/284 is 35034378.

LCM(5046/263, 6943/284) = 35034378

LCM of 5046/263, 6943/284

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 5046/263,6943/284

Given numbers are 5046/263,6943/284

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 5046,6943

Least Common Multiple of Numerators i.e. LCM of 5046,6943 is 35034378.

GCF of Denominators means GCF of 263,284 as per the given fractions.

GCF of 263,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5046,6943

LCM of Fractions 5046/263,6943/284 is 35034378

Given numbers has no common factors except 1. So, there LCM is their product i.e 35034378

Least Common Multiple of 5046,6943 with GCF Formula

Least Common Multiple of 5046,6943 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 5046,6943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5046,6943) = 1

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

GCF(5046,6943) x common factors =1 x 1 = 1

LCM(5046,6943) = ( 5046 × 6943 ) / 1

LCM(5046,6943) = 35034378 / 1

LCM(5046,6943) = 35034378


Lets's calculate GCF of 263,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35034378/1

Therefore the LCM of Fractions 5046/263,6943/284 is 35034378

Greatest Common Factor of 263,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,284 By Matching Biggest Common Factor Method

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 263,284 . The biggest common factor number is the GCF number.
So the greatest common factor 263,284 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5046/263, 6943/284

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 5046/263, 6943/284?

Answer: LCM of Numerators as per given numbers 5046/263, 6943/284 is

LCM of Numerators i.e. for 5046,6943 is 35034378

GCF of denominators i.e. for 263,284 is 1.

Thus, LCM of Fractions is 35034378.Finally, LCM of Fractions for 5046/263, 6943/284 is 35034378.