Least Common Multiple of 638/449, 631/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 638/449, 631/646 quickly i.e. 402578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 638/449, 631/646 is 402578.

LCM(638/449, 631/646) = 402578

LCM of 638/449, 631/646

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 638/449,631/646

Given numbers are 638/449,631/646

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 638,631

Least Common Multiple of Numerators i.e. LCM of 638,631 is 402578.

GCF of Denominators means GCF of 449,646 as per the given fractions.

GCF of 449,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 638,631

LCM of Fractions 638/449,631/646 is 402578

Given numbers has no common factors except 1. So, there LCM is their product i.e 402578

Least Common Multiple of 638,631 with GCF Formula

Least Common Multiple of 638,631 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 638,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,631) = 1

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

GCF(638,631) x common factors =1 x 1 = 1

LCM(638,631) = ( 638 × 631 ) / 1

LCM(638,631) = 402578 / 1

LCM(638,631) = 402578


Lets's calculate GCF of 449,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 402578/1

Therefore the LCM of Fractions 638/449,631/646 is 402578

Greatest Common Factor of 449,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,646 By Matching Biggest Common Factor Method

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 449,646 . The biggest common factor number is the GCF number.
So the greatest common factor 449,646 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 638/449, 631/646

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 638/449, 631/646?

Answer: LCM of Numerators as per given numbers 638/449, 631/646 is

LCM of Numerators i.e. for 638,631 is 402578

GCF of denominators i.e. for 449,646 is 1.

Thus, LCM of Fractions is 402578.Finally, LCM of Fractions for 638/449, 631/646 is 402578.