Least Common Multiple of 479/367, 849/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 479/367, 849/624 quickly i.e. 406671 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 479/367, 849/624 is 406671.

LCM(479/367, 849/624) = 406671

LCM of 479/367, 849/624

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 479/367,849/624

Given numbers are 479/367,849/624

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 479,849

Least Common Multiple of Numerators i.e. LCM of 479,849 is 406671.

GCF of Denominators means GCF of 367,624 as per the given fractions.

GCF of 367,624 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 479,849

LCM of Fractions 479/367,849/624 is 406671

Given numbers has no common factors except 1. So, there LCM is their product i.e 406671

Least Common Multiple of 479,849 with GCF Formula

Least Common Multiple of 479,849 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 479,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,849) = 1

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

GCF(479,849) x common factors =1 x 1 = 1

LCM(479,849) = ( 479 × 849 ) / 1

LCM(479,849) = 406671 / 1

LCM(479,849) = 406671


Lets's calculate GCF of 367,624

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406671/1

Therefore the LCM of Fractions 479/367,849/624 is 406671

Greatest Common Factor of 367,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,624 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 367,624 . The biggest common factor number is the GCF number.
So the greatest common factor 367,624 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 479/367, 849/624

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 479/367, 849/624?

Answer: LCM of Numerators as per given numbers 479/367, 849/624 is

LCM of Numerators i.e. for 479,849 is 406671

GCF of denominators i.e. for 367,624 is 1.

Thus, LCM of Fractions is 406671.Finally, LCM of Fractions for 479/367, 849/624 is 406671.