Least Common Multiple of 667/43, 499/5324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 667/43, 499/5324 quickly i.e. 332833 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 667/43, 499/5324 is 332833.

LCM(667/43, 499/5324) = 332833

LCM of 667/43, 499/5324

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 667/43,499/5324

Given numbers are 667/43,499/5324

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 667,499

Least Common Multiple of Numerators i.e. LCM of 667,499 is 332833.

GCF of Denominators means GCF of 43,5324 as per the given fractions.

GCF of 43,5324 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 667,499

LCM of Fractions 667/43,499/5324 is 332833

Given numbers has no common factors except 1. So, there LCM is their product i.e 332833

Least Common Multiple of 667,499 with GCF Formula

Least Common Multiple of 667,499 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 667,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,499) = 1

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

GCF(667,499) x common factors =1 x 1 = 1

LCM(667,499) = ( 667 × 499 ) / 1

LCM(667,499) = 332833 / 1

LCM(667,499) = 332833


Lets's calculate GCF of 43,5324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332833/1

Therefore the LCM of Fractions 667/43,499/5324 is 332833

Greatest Common Factor of 43,5324 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,5324 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 5324

List of positive integer factors of 5324 that divides 5324 without a remainder.

1,2,4,11,22,44,121,242,484,1331,2662,5324

Greatest Common Factor

We found the factors 43,5324 . The biggest common factor number is the GCF number.
So the greatest common factor 43,5324 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 667/43, 499/5324

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 667/43, 499/5324?

Answer: LCM of Numerators as per given numbers 667/43, 499/5324 is

LCM of Numerators i.e. for 667,499 is 332833

GCF of denominators i.e. for 43,5324 is 1.

Thus, LCM of Fractions is 332833.Finally, LCM of Fractions for 667/43, 499/5324 is 332833.