Least Common Multiple of 140/193, 288/833, 448/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 140/193, 288/833, 448/936 quickly i.e. 20160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 140/193, 288/833, 448/936 is 20160.

LCM(140/193, 288/833, 448/936) = 20160

LCM of 140/193, 288/833, 448/936

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 140/193,288/833,448/936

Given numbers are 140/193,288/833,448/936

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 140,288,448

Least Common Multiple of Numerators i.e. LCM of 140,288,448 is 20160.

GCF of Denominators means GCF of 193,833,936 as per the given fractions.

GCF of 193,833,936 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 140,288,448

LCM of Fractions 140/193,288/833,448/936 is 20160

2 140, 288, 448
2 70, 144, 224
2 35, 72, 112
2 35, 36, 56
2 35, 18, 28
7 35, 9, 14
5, 9, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 x 5 x 9 x 2 = 20160

Least Common Multiple of 140,288,448 with GCF Formula

Least Common Multiple of 140,288,448 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 140,288,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,288,448) = 4

common factors(in case of two or more numbers have common factors) = 224

GCF(140,288,448) x common factors =4 x 224 = 896

LCM(140,288,448) = ( 140 × 288 × 448 ) / 896

LCM(140,288,448) = 18063360 / 896

LCM(140,288,448) = 20160


Lets's calculate GCF of 193,833,936

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20160/1

Therefore the LCM of Fractions 140/193,288/833,448/936 is 20160

Greatest Common Factor of 193,833,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 193,833,936 By Matching Biggest Common Factor Method

Factors of 193

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

1,193

Factors of 833

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

1,7,17,49,119,833

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 193,833,936 . The biggest common factor number is the GCF number.
So the greatest common factor 193,833,936 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 140/193, 288/833, 448/936

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 140/193, 288/833, 448/936?

Answer: LCM of Numerators as per given numbers 140/193, 288/833, 448/936 is

LCM of Numerators i.e. for 140,288,448 is 20160

GCF of denominators i.e. for 193,833,936 is 1.

Thus, LCM of Fractions is 20160.Finally, LCM of Fractions for 140/193, 288/833, 448/936 is 20160.