Least Common Multiple of 193/23, 253/84, 319/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 193/23, 253/84, 319/735 quickly i.e. 1416041 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 193/23, 253/84, 319/735 is 1416041.

LCM(193/23, 253/84, 319/735) = 1416041

LCM of 193/23, 253/84, 319/735

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 193/23,253/84,319/735

Given numbers are 193/23,253/84,319/735

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 193,253,319

Least Common Multiple of Numerators i.e. LCM of 193,253,319 is 1416041.

GCF of Denominators means GCF of 23,84,735 as per the given fractions.

GCF of 23,84,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 193,253,319

LCM of Fractions 193/23,253/84,319/735 is 1416041

11 193, 253, 319
193, 23, 29

∴ So the LCM of the given numbers is 11 x 193 x 23 x 29 = 1416041

Least Common Multiple of 193,253,319 with GCF Formula

Least Common Multiple of 193,253,319 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 193,253,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(193,253,319) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(193,253,319) x common factors =1 x 11 = 11

LCM(193,253,319) = ( 193 × 253 × 319 ) / 11

LCM(193,253,319) = 15576451 / 11

LCM(193,253,319) = 1416041


Lets's calculate GCF of 23,84,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1416041/1

Therefore the LCM of Fractions 193/23,253/84,319/735 is 1416041

Greatest Common Factor of 23,84,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,84,735 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 23,84,735 . The biggest common factor number is the GCF number.
So the greatest common factor 23,84,735 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 193/23, 253/84, 319/735

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 193/23, 253/84, 319/735?

Answer: LCM of Numerators as per given numbers 193/23, 253/84, 319/735 is

LCM of Numerators i.e. for 193,253,319 is 1416041

GCF of denominators i.e. for 23,84,735 is 1.

Thus, LCM of Fractions is 1416041.Finally, LCM of Fractions for 193/23, 253/84, 319/735 is 1416041.