Least Common Multiple of 558/96, 960/5042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 558/96, 960/5042 quickly i.e. 44640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 558/96, 960/5042 is 44640.

LCM(558/96, 960/5042) = 44640

LCM of 558/96, 960/5042

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 558/96,960/5042

Given numbers are 558/96,960/5042

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 558,960

Least Common Multiple of Numerators i.e. LCM of 558,960 is 89280.

GCF of Denominators means GCF of 96,5042 as per the given fractions.

GCF of 96,5042 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 558,960

LCM of Fractions 558/96,960/5042 is 44640

2 558, 960
3 279, 480
93, 160

∴ So the LCM of the given numbers is 2 x 3 x 93 x 160 = 89280

Least Common Multiple of 558,960 with GCF Formula

Least Common Multiple of 558,960 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 558,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,960) = 6

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

GCF(558,960) x common factors =6 x 1 = 6

LCM(558,960) = ( 558 × 960 ) / 6

LCM(558,960) = 535680 / 6

LCM(558,960) = 89280


Lets's calculate GCF of 96,5042

2 96, 5042
48, 2521

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89280/2

Therefore the LCM of Fractions 558/96,960/5042 is 44640

Greatest Common Factor of 96,5042 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,5042 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 5042

List of positive integer factors of 5042 that divides 5042 without a remainder.

1,2,2521,5042

Greatest Common Factor

We found the factors 96,5042 . The biggest common factor number is the GCF number.
So the greatest common factor 96,5042 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 558/96, 960/5042

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 558/96, 960/5042?

Answer: LCM of Numerators as per given numbers 558/96, 960/5042 is

LCM of Numerators i.e. for 558,960 is 89280

GCF of denominators i.e. for 96,5042 is 2.

Thus, LCM of Fractions is 44640.Finally, LCM of Fractions for 558/96, 960/5042 is 44640.