Least Common Multiple of 499/467, 7167/1264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 499/467, 7167/1264 quickly i.e. 3576333 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 499/467, 7167/1264 is 3576333.

LCM(499/467, 7167/1264) = 3576333

LCM of 499/467, 7167/1264

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 499/467,7167/1264

Given numbers are 499/467,7167/1264

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 499,7167

Least Common Multiple of Numerators i.e. LCM of 499,7167 is 3576333.

GCF of Denominators means GCF of 467,1264 as per the given fractions.

GCF of 467,1264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 499,7167

LCM of Fractions 499/467,7167/1264 is 3576333

Given numbers has no common factors except 1. So, there LCM is their product i.e 3576333

Least Common Multiple of 499,7167 with GCF Formula

Least Common Multiple of 499,7167 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 499,7167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,7167) = 1

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

GCF(499,7167) x common factors =1 x 1 = 1

LCM(499,7167) = ( 499 × 7167 ) / 1

LCM(499,7167) = 3576333 / 1

LCM(499,7167) = 3576333


Lets's calculate GCF of 467,1264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3576333/1

Therefore the LCM of Fractions 499/467,7167/1264 is 3576333

Greatest Common Factor of 467,1264 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,1264 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 1264

List of positive integer factors of 1264 that divides 1264 without a remainder.

1,2,4,8,16,79,158,316,632,1264

Greatest Common Factor

We found the factors 467,1264 . The biggest common factor number is the GCF number.
So the greatest common factor 467,1264 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 499/467, 7167/1264

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 499/467, 7167/1264?

Answer: LCM of Numerators as per given numbers 499/467, 7167/1264 is

LCM of Numerators i.e. for 499,7167 is 3576333

GCF of denominators i.e. for 467,1264 is 1.

Thus, LCM of Fractions is 3576333.Finally, LCM of Fractions for 499/467, 7167/1264 is 3576333.