Least Common Multiple of 4496/558, 7042/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4496/558, 7042/728 quickly i.e. 7915208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4496/558, 7042/728 is 7915208.

LCM(4496/558, 7042/728) = 7915208

LCM of 4496/558, 7042/728

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 4496/558,7042/728

Given numbers are 4496/558,7042/728

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 4496,7042

Least Common Multiple of Numerators i.e. LCM of 4496,7042 is 15830416.

GCF of Denominators means GCF of 558,728 as per the given fractions.

GCF of 558,728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4496,7042

LCM of Fractions 4496/558,7042/728 is 7915208

2 4496, 7042
2248, 3521

∴ So the LCM of the given numbers is 2 x 2248 x 3521 = 15830416

Least Common Multiple of 4496,7042 with GCF Formula

Least Common Multiple of 4496,7042 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 4496,7042 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4496,7042) = 2

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

GCF(4496,7042) x common factors =2 x 1 = 2

LCM(4496,7042) = ( 4496 × 7042 ) / 2

LCM(4496,7042) = 31660832 / 2

LCM(4496,7042) = 15830416


Lets's calculate GCF of 558,728

2 558, 728
279, 364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15830416/2

Therefore the LCM of Fractions 4496/558,7042/728 is 7915208

Greatest Common Factor of 558,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,728 By Matching Biggest Common Factor Method

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

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 558,728 . The biggest common factor number is the GCF number.
So the greatest common factor 558,728 is 2.


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 4496/558, 7042/728

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 4496/558, 7042/728?

Answer: LCM of Numerators as per given numbers 4496/558, 7042/728 is

LCM of Numerators i.e. for 4496,7042 is 15830416

GCF of denominators i.e. for 558,728 is 2.

Thus, LCM of Fractions is 7915208.Finally, LCM of Fractions for 4496/558, 7042/728 is 7915208.