Least Common Multiple of 45/38, 524/83, 382/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/38, 524/83, 382/742 quickly i.e. 4503780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/38, 524/83, 382/742 is 4503780.

LCM(45/38, 524/83, 382/742) = 4503780

LCM of 45/38, 524/83, 382/742

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 45/38,524/83,382/742

Given numbers are 45/38,524/83,382/742

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 45,524,382

Least Common Multiple of Numerators i.e. LCM of 45,524,382 is 4503780.

GCF of Denominators means GCF of 38,83,742 as per the given fractions.

GCF of 38,83,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,524,382

LCM of Fractions 45/38,524/83,382/742 is 4503780

2 45, 524, 382
45, 262, 191

∴ So the LCM of the given numbers is 2 x 45 x 262 x 191 = 4503780

Least Common Multiple of 45,524,382 with GCF Formula

Least Common Multiple of 45,524,382 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 45,524,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,524,382) = 1

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

GCF(45,524,382) x common factors =1 x 2 = 2

LCM(45,524,382) = ( 45 × 524 × 382 ) / 2

LCM(45,524,382) = 9007560 / 2

LCM(45,524,382) = 4503780


Lets's calculate GCF of 38,83,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4503780/1

Therefore the LCM of Fractions 45/38,524/83,382/742 is 4503780

Greatest Common Factor of 38,83,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,83,742 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 38,83,742 . The biggest common factor number is the GCF number.
So the greatest common factor 38,83,742 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 45/38, 524/83, 382/742

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 45/38, 524/83, 382/742?

Answer: LCM of Numerators as per given numbers 45/38, 524/83, 382/742 is

LCM of Numerators i.e. for 45,524,382 is 4503780

GCF of denominators i.e. for 38,83,742 is 1.

Thus, LCM of Fractions is 4503780.Finally, LCM of Fractions for 45/38, 524/83, 382/742 is 4503780.