Least Common Multiple of 38/149, 28/164, 228/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/149, 28/164, 228/549 quickly i.e. 1596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/149, 28/164, 228/549 is 1596.

LCM(38/149, 28/164, 228/549) = 1596

LCM of 38/149, 28/164, 228/549

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 38/149,28/164,228/549

Given numbers are 38/149,28/164,228/549

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 38,28,228

Least Common Multiple of Numerators i.e. LCM of 38,28,228 is 1596.

GCF of Denominators means GCF of 149,164,549 as per the given fractions.

GCF of 149,164,549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,28,228

LCM of Fractions 38/149,28/164,228/549 is 1596

2 38, 28, 228
2 19, 14, 114
19 19, 7, 57
1, 7, 3

∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 7 x 3 = 1596

Least Common Multiple of 38,28,228 with GCF Formula

Least Common Multiple of 38,28,228 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 38,28,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,28,228) = 2

common factors(in case of two or more numbers have common factors) = 76

GCF(38,28,228) x common factors =2 x 76 = 152

LCM(38,28,228) = ( 38 × 28 × 228 ) / 152

LCM(38,28,228) = 242592 / 152

LCM(38,28,228) = 1596


Lets's calculate GCF of 149,164,549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1596/1

Therefore the LCM of Fractions 38/149,28/164,228/549 is 1596

Greatest Common Factor of 149,164,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,164,549 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 549

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

1,3,9,61,183,549

Greatest Common Factor

We found the factors 149,164,549 . The biggest common factor number is the GCF number.
So the greatest common factor 149,164,549 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 38/149, 28/164, 228/549

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 38/149, 28/164, 228/549?

Answer: LCM of Numerators as per given numbers 38/149, 28/164, 228/549 is

LCM of Numerators i.e. for 38,28,228 is 1596

GCF of denominators i.e. for 149,164,549 is 1.

Thus, LCM of Fractions is 1596.Finally, LCM of Fractions for 38/149, 28/164, 228/549 is 1596.