Least Common Multiple of 38/131, 28/872, 410/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/131, 28/872, 410/166 quickly i.e. 109060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/131, 28/872, 410/166 is 109060.

LCM(38/131, 28/872, 410/166) = 109060

LCM of 38/131, 28/872, 410/166

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 38/131,28/872,410/166

Given numbers are 38/131,28/872,410/166

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 38,28,410

Least Common Multiple of Numerators i.e. LCM of 38,28,410 is 109060.

GCF of Denominators means GCF of 131,872,166 as per the given fractions.

GCF of 131,872,166 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,28,410

LCM of Fractions 38/131,28/872,410/166 is 109060

2 38, 28, 410
19, 14, 205

∴ So the LCM of the given numbers is 2 x 19 x 14 x 205 = 109060

Least Common Multiple of 38,28,410 with GCF Formula

Least Common Multiple of 38,28,410 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 38,28,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,28,410) = 2

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

GCF(38,28,410) x common factors =2 x 2 = 4

LCM(38,28,410) = ( 38 × 28 × 410 ) / 4

LCM(38,28,410) = 436240 / 4

LCM(38,28,410) = 109060


Lets's calculate GCF of 131,872,166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109060/1

Therefore the LCM of Fractions 38/131,28/872,410/166 is 109060

Greatest Common Factor of 131,872,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,872,166 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 131,872,166 . The biggest common factor number is the GCF number.
So the greatest common factor 131,872,166 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 38/131, 28/872, 410/166

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 38/131, 28/872, 410/166?

Answer: LCM of Numerators as per given numbers 38/131, 28/872, 410/166 is

LCM of Numerators i.e. for 38,28,410 is 109060

GCF of denominators i.e. for 131,872,166 is 1.

Thus, LCM of Fractions is 109060.Finally, LCM of Fractions for 38/131, 28/872, 410/166 is 109060.