Least Common Multiple of 843/496, 4278/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 843/496, 4278/578 quickly i.e. 601059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/496, 4278/578 is 601059.

LCM(843/496, 4278/578) = 601059

LCM of 843/496, 4278/578

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 843/496,4278/578

Given numbers are 843/496,4278/578

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 843,4278

Least Common Multiple of Numerators i.e. LCM of 843,4278 is 1202118.

GCF of Denominators means GCF of 496,578 as per the given fractions.

GCF of 496,578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,4278

LCM of Fractions 843/496,4278/578 is 601059

3 843, 4278
281, 1426

∴ So the LCM of the given numbers is 3 x 281 x 1426 = 1202118

Least Common Multiple of 843,4278 with GCF Formula

Least Common Multiple of 843,4278 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 843,4278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,4278) = 3

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

GCF(843,4278) x common factors =3 x 1 = 3

LCM(843,4278) = ( 843 × 4278 ) / 3

LCM(843,4278) = 3606354 / 3

LCM(843,4278) = 1202118


Lets's calculate GCF of 496,578

2 496, 578
248, 289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1202118/2

Therefore the LCM of Fractions 843/496,4278/578 is 601059

Greatest Common Factor of 496,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,578 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 496,578 . The biggest common factor number is the GCF number.
So the greatest common factor 496,578 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 843/496, 4278/578

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 843/496, 4278/578?

Answer: LCM of Numerators as per given numbers 843/496, 4278/578 is

LCM of Numerators i.e. for 843,4278 is 1202118

GCF of denominators i.e. for 496,578 is 2.

Thus, LCM of Fractions is 601059.Finally, LCM of Fractions for 843/496, 4278/578 is 601059.