Least Common Multiple of 46/29, 16/24, 745/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/29, 16/24, 745/380 quickly i.e. 274160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/29, 16/24, 745/380 is 274160.

LCM(46/29, 16/24, 745/380) = 274160

LCM of 46/29, 16/24, 745/380

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 46/29,16/24,745/380

Given numbers are 46/29,16/24,745/380

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 46,16,745

Least Common Multiple of Numerators i.e. LCM of 46,16,745 is 274160.

GCF of Denominators means GCF of 29,24,380 as per the given fractions.

GCF of 29,24,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,16,745

LCM of Fractions 46/29,16/24,745/380 is 274160

2 46, 16, 745
23, 8, 745

∴ So the LCM of the given numbers is 2 x 23 x 8 x 745 = 274160

Least Common Multiple of 46,16,745 with GCF Formula

Least Common Multiple of 46,16,745 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 46,16,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,16,745) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,16,745) x common factors =1 x 2 = 2

LCM(46,16,745) = ( 46 × 16 × 745 ) / 2

LCM(46,16,745) = 548320 / 2

LCM(46,16,745) = 274160


Lets's calculate GCF of 29,24,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274160/1

Therefore the LCM of Fractions 46/29,16/24,745/380 is 274160

Greatest Common Factor of 29,24,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,24,380 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 29,24,380 . The biggest common factor number is the GCF number.
So the greatest common factor 29,24,380 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 46/29, 16/24, 745/380

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 46/29, 16/24, 745/380?

Answer: LCM of Numerators as per given numbers 46/29, 16/24, 745/380 is

LCM of Numerators i.e. for 46,16,745 is 274160

GCF of denominators i.e. for 29,24,380 is 1.

Thus, LCM of Fractions is 274160.Finally, LCM of Fractions for 46/29, 16/24, 745/380 is 274160.