Least Common Multiple of 1305/247, 4989/1457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1305/247, 4989/1457 quickly i.e. 2170215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1305/247, 4989/1457 is 2170215.

LCM(1305/247, 4989/1457) = 2170215

LCM of 1305/247, 4989/1457

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 1305/247,4989/1457

Given numbers are 1305/247,4989/1457

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 1305,4989

Least Common Multiple of Numerators i.e. LCM of 1305,4989 is 2170215.

GCF of Denominators means GCF of 247,1457 as per the given fractions.

GCF of 247,1457 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1305,4989

LCM of Fractions 1305/247,4989/1457 is 2170215

3 1305, 4989
435, 1663

∴ So the LCM of the given numbers is 3 x 435 x 1663 = 2170215

Least Common Multiple of 1305,4989 with GCF Formula

Least Common Multiple of 1305,4989 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 1305,4989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1305,4989) = 3

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

GCF(1305,4989) x common factors =3 x 1 = 3

LCM(1305,4989) = ( 1305 × 4989 ) / 3

LCM(1305,4989) = 6510645 / 3

LCM(1305,4989) = 2170215


Lets's calculate GCF of 247,1457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2170215/1

Therefore the LCM of Fractions 1305/247,4989/1457 is 2170215

Greatest Common Factor of 247,1457 By Matching Biggest Common Factor Method

Greatest Common Factor of 247,1457 By Matching Biggest Common Factor Method

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 1457

List of positive integer factors of 1457 that divides 1457 without a remainder.

1,31,47,1457

Greatest Common Factor

We found the factors 247,1457 . The biggest common factor number is the GCF number.
So the greatest common factor 247,1457 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 1305/247, 4989/1457

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 1305/247, 4989/1457?

Answer: LCM of Numerators as per given numbers 1305/247, 4989/1457 is

LCM of Numerators i.e. for 1305,4989 is 2170215

GCF of denominators i.e. for 247,1457 is 1.

Thus, LCM of Fractions is 2170215.Finally, LCM of Fractions for 1305/247, 4989/1457 is 2170215.