Least Common Multiple of 6/456, 7/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6/456, 7/589 quickly i.e. 42/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/456, 7/589 is 42/19.

LCM(6/456, 7/589) = 42/19

LCM of 6/456, 7/589

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 6/456,7/589

Given numbers are 6/456,7/589

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 6,7

Least Common Multiple of Numerators i.e. LCM of 6,7 is 42.

GCF of Denominators means GCF of 456,589 as per the given fractions.

GCF of 456,589 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,7

LCM of Fractions 6/456,7/589 is 42/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 42

Least Common Multiple of 6,7 with GCF Formula

Least Common Multiple of 6,7 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 6,7 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,7) = 1

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

GCF(6,7) x common factors =1 x 1 = 1

LCM(6,7) = ( 6 × 7 ) / 1

LCM(6,7) = 42 / 1

LCM(6,7) = 42


Lets's calculate GCF of 456,589

19 456, 589
24, 31

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42/19

Therefore the LCM of Fractions 6/456,7/589 is 42/19

Greatest Common Factor of 456,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,589 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 456,589 . The biggest common factor number is the GCF number.
So the greatest common factor 456,589 is 19.


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 6/456, 7/589

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 6/456, 7/589?

Answer: LCM of Numerators as per given numbers 6/456, 7/589 is

LCM of Numerators i.e. for 6,7 is 42

GCF of denominators i.e. for 456,589 is 19.

Thus, LCM of Fractions is 42/19.Finally, LCM of Fractions for 6/456, 7/589 is 42/19.