Least Common Multiple of 48/558, 88/493, 668/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/558, 88/493, 668/816 quickly i.e. 88176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/558, 88/493, 668/816 is 88176.

LCM(48/558, 88/493, 668/816) = 88176

LCM of 48/558, 88/493, 668/816

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 48/558,88/493,668/816

Given numbers are 48/558,88/493,668/816

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 48,88,668

Least Common Multiple of Numerators i.e. LCM of 48,88,668 is 88176.

GCF of Denominators means GCF of 558,493,816 as per the given fractions.

GCF of 558,493,816 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,88,668

LCM of Fractions 48/558,88/493,668/816 is 88176

2 48, 88, 668
2 24, 44, 334
2 12, 22, 167
6, 11, 167

∴ So the LCM of the given numbers is 2 x 2 x 2 x 6 x 11 x 167 = 88176

Least Common Multiple of 48,88,668 with GCF Formula

Least Common Multiple of 48,88,668 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 48,88,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,88,668) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(48,88,668) x common factors =4 x 8 = 32

LCM(48,88,668) = ( 48 × 88 × 668 ) / 32

LCM(48,88,668) = 2821632 / 32

LCM(48,88,668) = 88176


Lets's calculate GCF of 558,493,816

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88176/1

Therefore the LCM of Fractions 48/558,88/493,668/816 is 88176

Greatest Common Factor of 558,493,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,493,816 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 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 558,493,816 . The biggest common factor number is the GCF number.
So the greatest common factor 558,493,816 is 1.


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 48/558, 88/493, 668/816

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 48/558, 88/493, 668/816?

Answer: LCM of Numerators as per given numbers 48/558, 88/493, 668/816 is

LCM of Numerators i.e. for 48,88,668 is 88176

GCF of denominators i.e. for 558,493,816 is 1.

Thus, LCM of Fractions is 88176.Finally, LCM of Fractions for 48/558, 88/493, 668/816 is 88176.