Least Common Multiple of 29/71, 42/91, 382/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/71, 42/91, 382/153 quickly i.e. 232638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/71, 42/91, 382/153 is 232638.

LCM(29/71, 42/91, 382/153) = 232638

LCM of 29/71, 42/91, 382/153

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 29/71,42/91,382/153

Given numbers are 29/71,42/91,382/153

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 29,42,382

Least Common Multiple of Numerators i.e. LCM of 29,42,382 is 232638.

GCF of Denominators means GCF of 71,91,153 as per the given fractions.

GCF of 71,91,153 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,42,382

LCM of Fractions 29/71,42/91,382/153 is 232638

2 29, 42, 382
29, 21, 191

∴ So the LCM of the given numbers is 2 x 29 x 21 x 191 = 232638

Least Common Multiple of 29,42,382 with GCF Formula

Least Common Multiple of 29,42,382 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 29,42,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,42,382) = 1

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

GCF(29,42,382) x common factors =1 x 2 = 2

LCM(29,42,382) = ( 29 × 42 × 382 ) / 2

LCM(29,42,382) = 465276 / 2

LCM(29,42,382) = 232638


Lets's calculate GCF of 71,91,153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232638/1

Therefore the LCM of Fractions 29/71,42/91,382/153 is 232638

Greatest Common Factor of 71,91,153 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,91,153 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Greatest Common Factor

We found the factors 71,91,153 . The biggest common factor number is the GCF number.
So the greatest common factor 71,91,153 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 29/71, 42/91, 382/153

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 29/71, 42/91, 382/153?

Answer: LCM of Numerators as per given numbers 29/71, 42/91, 382/153 is

LCM of Numerators i.e. for 29,42,382 is 232638

GCF of denominators i.e. for 71,91,153 is 1.

Thus, LCM of Fractions is 232638.Finally, LCM of Fractions for 29/71, 42/91, 382/153 is 232638.