Least Common Multiple of 386/496, 5504/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 386/496, 5504/558 quickly i.e. 1062272/62 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 386/496, 5504/558 is 1062272/62.

LCM(386/496, 5504/558) = 1062272/62

LCM of 386/496, 5504/558

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 386/496,5504/558

Given numbers are 386/496,5504/558

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 386,5504

Least Common Multiple of Numerators i.e. LCM of 386,5504 is 1062272.

GCF of Denominators means GCF of 496,558 as per the given fractions.

GCF of 496,558 is 62 as it is the largest common factor for these numbers.

Lets's calculate LCM of 386,5504

LCM of Fractions 386/496,5504/558 is 1062272/62

2 386, 5504
193, 2752

∴ So the LCM of the given numbers is 2 x 193 x 2752 = 1062272

Least Common Multiple of 386,5504 with GCF Formula

Least Common Multiple of 386,5504 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 386,5504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,5504) = 2

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

GCF(386,5504) x common factors =2 x 1 = 2

LCM(386,5504) = ( 386 × 5504 ) / 2

LCM(386,5504) = 2124544 / 2

LCM(386,5504) = 1062272


Lets's calculate GCF of 496,558

2 496, 558
31 248, 279
8, 9

∴ So the GCF of the given numbers is 2 x 31 = 62

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1062272/62

Therefore the LCM of Fractions 386/496,5504/558 is 1062272/62

Greatest Common Factor of 496,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,558 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 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 496,558 . The biggest common factor number is the GCF number.
So the greatest common factor 496,558 is 62.


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 386/496, 5504/558

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 386/496, 5504/558?

Answer: LCM of Numerators as per given numbers 386/496, 5504/558 is

LCM of Numerators i.e. for 386,5504 is 1062272

GCF of denominators i.e. for 496,558 is 62.

Thus, LCM of Fractions is 1062272/62.Finally, LCM of Fractions for 386/496, 5504/558 is 1062272/62.