Least Common Multiple of 38/549, 82/442, 149/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/549, 82/442, 149/952 quickly i.e. 232142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/549, 82/442, 149/952 is 232142.

LCM(38/549, 82/442, 149/952) = 232142

LCM of 38/549, 82/442, 149/952

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 38/549,82/442,149/952

Given numbers are 38/549,82/442,149/952

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 38,82,149

Least Common Multiple of Numerators i.e. LCM of 38,82,149 is 232142.

GCF of Denominators means GCF of 549,442,952 as per the given fractions.

GCF of 549,442,952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,82,149

LCM of Fractions 38/549,82/442,149/952 is 232142

2 38, 82, 149
19, 41, 149

∴ So the LCM of the given numbers is 2 x 19 x 41 x 149 = 232142

Least Common Multiple of 38,82,149 with GCF Formula

Least Common Multiple of 38,82,149 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 38,82,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,82,149) = 1

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

GCF(38,82,149) x common factors =1 x 2 = 2

LCM(38,82,149) = ( 38 × 82 × 149 ) / 2

LCM(38,82,149) = 464284 / 2

LCM(38,82,149) = 232142


Lets's calculate GCF of 549,442,952

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232142/1

Therefore the LCM of Fractions 38/549,82/442,149/952 is 232142

Greatest Common Factor of 549,442,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,442,952 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 549,442,952 . The biggest common factor number is the GCF number.
So the greatest common factor 549,442,952 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 38/549, 82/442, 149/952

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 38/549, 82/442, 149/952?

Answer: LCM of Numerators as per given numbers 38/549, 82/442, 149/952 is

LCM of Numerators i.e. for 38,82,149 is 232142

GCF of denominators i.e. for 549,442,952 is 1.

Thus, LCM of Fractions is 232142.Finally, LCM of Fractions for 38/549, 82/442, 149/952 is 232142.