Least Common Multiple of 7249/619, 1231/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7249/619, 1231/588 quickly i.e. 8923519 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7249/619, 1231/588 is 8923519.

LCM(7249/619, 1231/588) = 8923519

LCM of 7249/619, 1231/588

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 7249/619,1231/588

Given numbers are 7249/619,1231/588

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 7249,1231

Least Common Multiple of Numerators i.e. LCM of 7249,1231 is 8923519.

GCF of Denominators means GCF of 619,588 as per the given fractions.

GCF of 619,588 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7249,1231

LCM of Fractions 7249/619,1231/588 is 8923519

Given numbers has no common factors except 1. So, there LCM is their product i.e 8923519

Least Common Multiple of 7249,1231 with GCF Formula

Least Common Multiple of 7249,1231 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 7249,1231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7249,1231) = 1

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

GCF(7249,1231) x common factors =1 x 1 = 1

LCM(7249,1231) = ( 7249 × 1231 ) / 1

LCM(7249,1231) = 8923519 / 1

LCM(7249,1231) = 8923519


Lets's calculate GCF of 619,588

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8923519/1

Therefore the LCM of Fractions 7249/619,1231/588 is 8923519

Greatest Common Factor of 619,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 619,588 By Matching Biggest Common Factor Method

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 619,588 . The biggest common factor number is the GCF number.
So the greatest common factor 619,588 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7249/619, 1231/588

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 7249/619, 1231/588?

Answer: LCM of Numerators as per given numbers 7249/619, 1231/588 is

LCM of Numerators i.e. for 7249,1231 is 8923519

GCF of denominators i.e. for 619,588 is 1.

Thus, LCM of Fractions is 8923519.Finally, LCM of Fractions for 7249/619, 1231/588 is 8923519.