Least Common Multiple of 88/166, 71/523, 426/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/166, 71/523, 426/100 quickly i.e. 18744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/166, 71/523, 426/100 is 18744.

LCM(88/166, 71/523, 426/100) = 18744

LCM of 88/166, 71/523, 426/100

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 88/166,71/523,426/100

Given numbers are 88/166,71/523,426/100

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 88,71,426

Least Common Multiple of Numerators i.e. LCM of 88,71,426 is 18744.

GCF of Denominators means GCF of 166,523,100 as per the given fractions.

GCF of 166,523,100 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,71,426

LCM of Fractions 88/166,71/523,426/100 is 18744

2 88, 71, 426
71 44, 71, 213
44, 1, 3

∴ So the LCM of the given numbers is 2 x 71 x 44 x 1 x 3 = 18744

Least Common Multiple of 88,71,426 with GCF Formula

Least Common Multiple of 88,71,426 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 88,71,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,71,426) = 1

common factors(in case of two or more numbers have common factors) = 142

GCF(88,71,426) x common factors =1 x 142 = 142

LCM(88,71,426) = ( 88 × 71 × 426 ) / 142

LCM(88,71,426) = 2661648 / 142

LCM(88,71,426) = 18744


Lets's calculate GCF of 166,523,100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18744/1

Therefore the LCM of Fractions 88/166,71/523,426/100 is 18744

Greatest Common Factor of 166,523,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,523,100 By Matching Biggest Common Factor Method

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 166,523,100 . The biggest common factor number is the GCF number.
So the greatest common factor 166,523,100 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 88/166, 71/523, 426/100

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 88/166, 71/523, 426/100?

Answer: LCM of Numerators as per given numbers 88/166, 71/523, 426/100 is

LCM of Numerators i.e. for 88,71,426 is 18744

GCF of denominators i.e. for 166,523,100 is 1.

Thus, LCM of Fractions is 18744.Finally, LCM of Fractions for 88/166, 71/523, 426/100 is 18744.