Least Common Multiple of 496/608, 2071/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 496/608, 2071/424 quickly i.e. 128402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/608, 2071/424 is 128402.

LCM(496/608, 2071/424) = 128402

LCM of 496/608, 2071/424

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 496/608,2071/424

Given numbers are 496/608,2071/424

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 496,2071

Least Common Multiple of Numerators i.e. LCM of 496,2071 is 1027216.

GCF of Denominators means GCF of 608,424 as per the given fractions.

GCF of 608,424 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,2071

LCM of Fractions 496/608,2071/424 is 128402

Given numbers has no common factors except 1. So, there LCM is their product i.e 1027216

Least Common Multiple of 496,2071 with GCF Formula

Least Common Multiple of 496,2071 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 496,2071 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,2071) = 1

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

GCF(496,2071) x common factors =1 x 1 = 1

LCM(496,2071) = ( 496 × 2071 ) / 1

LCM(496,2071) = 1027216 / 1

LCM(496,2071) = 1027216


Lets's calculate GCF of 608,424

2 608, 424
2 304, 212
2 152, 106
76, 53

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1027216/8

Therefore the LCM of Fractions 496/608,2071/424 is 128402

Greatest Common Factor of 608,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,424 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 608,424 . The biggest common factor number is the GCF number.
So the greatest common factor 608,424 is 8.


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 496/608, 2071/424

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 496/608, 2071/424?

Answer: LCM of Numerators as per given numbers 496/608, 2071/424 is

LCM of Numerators i.e. for 496,2071 is 1027216

GCF of denominators i.e. for 608,424 is 8.

Thus, LCM of Fractions is 128402.Finally, LCM of Fractions for 496/608, 2071/424 is 128402.