Least Common Multiple of 21/833, 93/332, 178/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 21/833, 93/332, 178/356 quickly i.e. 115878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/833, 93/332, 178/356 is 115878.

LCM(21/833, 93/332, 178/356) = 115878

LCM of 21/833, 93/332, 178/356

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 21/833,93/332,178/356

Given numbers are 21/833,93/332,178/356

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 21,93,178

Least Common Multiple of Numerators i.e. LCM of 21,93,178 is 115878.

GCF of Denominators means GCF of 833,332,356 as per the given fractions.

GCF of 833,332,356 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,93,178

LCM of Fractions 21/833,93/332,178/356 is 115878

3 21, 93, 178
7, 31, 178

∴ So the LCM of the given numbers is 3 x 7 x 31 x 178 = 115878

Least Common Multiple of 21,93,178 with GCF Formula

Least Common Multiple of 21,93,178 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 21,93,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,93,178) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,93,178) x common factors =1 x 3 = 3

LCM(21,93,178) = ( 21 × 93 × 178 ) / 3

LCM(21,93,178) = 347634 / 3

LCM(21,93,178) = 115878


Lets's calculate GCF of 833,332,356

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115878/1

Therefore the LCM of Fractions 21/833,93/332,178/356 is 115878

Greatest Common Factor of 833,332,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 833,332,356 By Matching Biggest Common Factor Method

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 833,332,356 . The biggest common factor number is the GCF number.
So the greatest common factor 833,332,356 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 21/833, 93/332, 178/356

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 21/833, 93/332, 178/356?

Answer: LCM of Numerators as per given numbers 21/833, 93/332, 178/356 is

LCM of Numerators i.e. for 21,93,178 is 115878

GCF of denominators i.e. for 833,332,356 is 1.

Thus, LCM of Fractions is 115878.Finally, LCM of Fractions for 21/833, 93/332, 178/356 is 115878.