Least Common Multiple of 81/895, 86/810, 285/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/895, 86/810, 285/726 quickly i.e. 661770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/895, 86/810, 285/726 is 661770.

LCM(81/895, 86/810, 285/726) = 661770

LCM of 81/895, 86/810, 285/726

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 81/895,86/810,285/726

Given numbers are 81/895,86/810,285/726

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 81,86,285

Least Common Multiple of Numerators i.e. LCM of 81,86,285 is 661770.

GCF of Denominators means GCF of 895,810,726 as per the given fractions.

GCF of 895,810,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,86,285

LCM of Fractions 81/895,86/810,285/726 is 661770

3 81, 86, 285
27, 86, 95

∴ So the LCM of the given numbers is 3 x 27 x 86 x 95 = 661770

Least Common Multiple of 81,86,285 with GCF Formula

Least Common Multiple of 81,86,285 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 81,86,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,86,285) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,86,285) x common factors =1 x 3 = 3

LCM(81,86,285) = ( 81 × 86 × 285 ) / 3

LCM(81,86,285) = 1985310 / 3

LCM(81,86,285) = 661770


Lets's calculate GCF of 895,810,726

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 661770/1

Therefore the LCM of Fractions 81/895,86/810,285/726 is 661770

Greatest Common Factor of 895,810,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,810,726 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 895,810,726 . The biggest common factor number is the GCF number.
So the greatest common factor 895,810,726 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 81/895, 86/810, 285/726

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 81/895, 86/810, 285/726?

Answer: LCM of Numerators as per given numbers 81/895, 86/810, 285/726 is

LCM of Numerators i.e. for 81,86,285 is 661770

GCF of denominators i.e. for 895,810,726 is 1.

Thus, LCM of Fractions is 661770.Finally, LCM of Fractions for 81/895, 86/810, 285/726 is 661770.