Least Common Multiple of 69/283, 4727/1519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/283, 4727/1519 quickly i.e. 326163 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/283, 4727/1519 is 326163.

LCM(69/283, 4727/1519) = 326163

LCM of 69/283, 4727/1519

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 69/283,4727/1519

Given numbers are 69/283,4727/1519

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 69,4727

Least Common Multiple of Numerators i.e. LCM of 69,4727 is 326163.

GCF of Denominators means GCF of 283,1519 as per the given fractions.

GCF of 283,1519 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,4727

LCM of Fractions 69/283,4727/1519 is 326163

Given numbers has no common factors except 1. So, there LCM is their product i.e 326163

Least Common Multiple of 69,4727 with GCF Formula

Least Common Multiple of 69,4727 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 69,4727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,4727) = 1

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

GCF(69,4727) x common factors =1 x 1 = 1

LCM(69,4727) = ( 69 × 4727 ) / 1

LCM(69,4727) = 326163 / 1

LCM(69,4727) = 326163


Lets's calculate GCF of 283,1519

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326163/1

Therefore the LCM of Fractions 69/283,4727/1519 is 326163

Greatest Common Factor of 283,1519 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,1519 By Matching Biggest Common Factor Method

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 1519

List of positive integer factors of 1519 that divides 1519 without a remainder.

1,7,31,49,217,1519

Greatest Common Factor

We found the factors 283,1519 . The biggest common factor number is the GCF number.
So the greatest common factor 283,1519 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/283, 4727/1519

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 69/283, 4727/1519?

Answer: LCM of Numerators as per given numbers 69/283, 4727/1519 is

LCM of Numerators i.e. for 69,4727 is 326163

GCF of denominators i.e. for 283,1519 is 1.

Thus, LCM of Fractions is 326163.Finally, LCM of Fractions for 69/283, 4727/1519 is 326163.