Least Common Multiple of 4223/713, 5461/3484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4223/713, 5461/3484 quickly i.e. 23061803 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4223/713, 5461/3484 is 23061803.

LCM(4223/713, 5461/3484) = 23061803

LCM of 4223/713, 5461/3484

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 4223/713,5461/3484

Given numbers are 4223/713,5461/3484

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 4223,5461

Least Common Multiple of Numerators i.e. LCM of 4223,5461 is 23061803.

GCF of Denominators means GCF of 713,3484 as per the given fractions.

GCF of 713,3484 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4223,5461

LCM of Fractions 4223/713,5461/3484 is 23061803

Given numbers has no common factors except 1. So, there LCM is their product i.e 23061803

Least Common Multiple of 4223,5461 with GCF Formula

Least Common Multiple of 4223,5461 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 4223,5461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4223,5461) = 1

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

GCF(4223,5461) x common factors =1 x 1 = 1

LCM(4223,5461) = ( 4223 × 5461 ) / 1

LCM(4223,5461) = 23061803 / 1

LCM(4223,5461) = 23061803


Lets's calculate GCF of 713,3484

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23061803/1

Therefore the LCM of Fractions 4223/713,5461/3484 is 23061803

Greatest Common Factor of 713,3484 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,3484 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 3484

List of positive integer factors of 3484 that divides 3484 without a remainder.

1,2,4,13,26,52,67,134,268,871,1742,3484

Greatest Common Factor

We found the factors 713,3484 . The biggest common factor number is the GCF number.
So the greatest common factor 713,3484 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4223/713, 5461/3484

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 4223/713, 5461/3484?

Answer: LCM of Numerators as per given numbers 4223/713, 5461/3484 is

LCM of Numerators i.e. for 4223,5461 is 23061803

GCF of denominators i.e. for 713,3484 is 1.

Thus, LCM of Fractions is 23061803.Finally, LCM of Fractions for 4223/713, 5461/3484 is 23061803.