Least Common Multiple of 871/68, 305/53, 333/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 871/68, 305/53, 333/814 quickly i.e. 88463115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 871/68, 305/53, 333/814 is 88463115.

LCM(871/68, 305/53, 333/814) = 88463115

LCM of 871/68, 305/53, 333/814

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 871/68,305/53,333/814

Given numbers are 871/68,305/53,333/814

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 871,305,333

Least Common Multiple of Numerators i.e. LCM of 871,305,333 is 88463115.

GCF of Denominators means GCF of 68,53,814 as per the given fractions.

GCF of 68,53,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 871,305,333

LCM of Fractions 871/68,305/53,333/814 is 88463115

Given numbers has no common factors except 1. So, there LCM is their product i.e 88463115

Least Common Multiple of 871,305,333 with GCF Formula

Least Common Multiple of 871,305,333 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 871,305,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,305,333) = 1

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

GCF(871,305,333) x common factors =1 x 1 = 1

LCM(871,305,333) = ( 871 × 305 × 333 ) / 1

LCM(871,305,333) = 88463115 / 1

LCM(871,305,333) = 88463115


Lets's calculate GCF of 68,53,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88463115/1

Therefore the LCM of Fractions 871/68,305/53,333/814 is 88463115

Greatest Common Factor of 68,53,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,53,814 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 68,53,814 . The biggest common factor number is the GCF number.
So the greatest common factor 68,53,814 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 871/68, 305/53, 333/814

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 871/68, 305/53, 333/814?

Answer: LCM of Numerators as per given numbers 871/68, 305/53, 333/814 is

LCM of Numerators i.e. for 871,305,333 is 88463115

GCF of denominators i.e. for 68,53,814 is 1.

Thus, LCM of Fractions is 88463115.Finally, LCM of Fractions for 871/68, 305/53, 333/814 is 88463115.