Least Common Multiple of 381/160, 869/695, 305/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/160, 869/695, 305/281 quickly i.e. 100982145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/160, 869/695, 305/281 is 100982145.

LCM(381/160, 869/695, 305/281) = 100982145

LCM of 381/160, 869/695, 305/281

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 381/160,869/695,305/281

Given numbers are 381/160,869/695,305/281

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 381,869,305

Least Common Multiple of Numerators i.e. LCM of 381,869,305 is 100982145.

GCF of Denominators means GCF of 160,695,281 as per the given fractions.

GCF of 160,695,281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,869,305

LCM of Fractions 381/160,869/695,305/281 is 100982145

Given numbers has no common factors except 1. So, there LCM is their product i.e 100982145

Least Common Multiple of 381,869,305 with GCF Formula

Least Common Multiple of 381,869,305 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 381,869,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,869,305) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(381,869,305) x common factors =1 x 1 = 1

LCM(381,869,305) = ( 381 × 869 × 305 ) / 1

LCM(381,869,305) = 100982145 / 1

LCM(381,869,305) = 100982145


Lets's calculate GCF of 160,695,281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100982145/1

Therefore the LCM of Fractions 381/160,869/695,305/281 is 100982145

Greatest Common Factor of 160,695,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,695,281 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 160,695,281 . The biggest common factor number is the GCF number.
So the greatest common factor 160,695,281 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 381/160, 869/695, 305/281

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 381/160, 869/695, 305/281?

Answer: LCM of Numerators as per given numbers 381/160, 869/695, 305/281 is

LCM of Numerators i.e. for 381,869,305 is 100982145

GCF of denominators i.e. for 160,695,281 is 1.

Thus, LCM of Fractions is 100982145.Finally, LCM of Fractions for 381/160, 869/695, 305/281 is 100982145.