Least Common Multiple of 827/672, 129/193, 223/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/672, 129/193, 223/924 quickly i.e. 23790309 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/672, 129/193, 223/924 is 23790309.

LCM(827/672, 129/193, 223/924) = 23790309

LCM of 827/672, 129/193, 223/924

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 827/672,129/193,223/924

Given numbers are 827/672,129/193,223/924

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 827,129,223

Least Common Multiple of Numerators i.e. LCM of 827,129,223 is 23790309.

GCF of Denominators means GCF of 672,193,924 as per the given fractions.

GCF of 672,193,924 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,129,223

LCM of Fractions 827/672,129/193,223/924 is 23790309

Given numbers has no common factors except 1. So, there LCM is their product i.e 23790309

Least Common Multiple of 827,129,223 with GCF Formula

Least Common Multiple of 827,129,223 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 827,129,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,129,223) = 1

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

GCF(827,129,223) x common factors =1 x 1 = 1

LCM(827,129,223) = ( 827 × 129 × 223 ) / 1

LCM(827,129,223) = 23790309 / 1

LCM(827,129,223) = 23790309


Lets's calculate GCF of 672,193,924

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23790309/1

Therefore the LCM of Fractions 827/672,129/193,223/924 is 23790309

Greatest Common Factor of 672,193,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,193,924 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 672,193,924 . The biggest common factor number is the GCF number.
So the greatest common factor 672,193,924 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 827/672, 129/193, 223/924

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 827/672, 129/193, 223/924?

Answer: LCM of Numerators as per given numbers 827/672, 129/193, 223/924 is

LCM of Numerators i.e. for 827,129,223 is 23790309

GCF of denominators i.e. for 672,193,924 is 1.

Thus, LCM of Fractions is 23790309.Finally, LCM of Fractions for 827/672, 129/193, 223/924 is 23790309.