Least Common Multiple of 85/818, 103/412, 261/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/818, 103/412, 261/128 quickly i.e. 2285055/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/818, 103/412, 261/128 is 2285055/2.

LCM(85/818, 103/412, 261/128) = 2285055/2

LCM of 85/818, 103/412, 261/128

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 85/818,103/412,261/128

Given numbers are 85/818,103/412,261/128

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 85,103,261

Least Common Multiple of Numerators i.e. LCM of 85,103,261 is 2285055.

GCF of Denominators means GCF of 818,412,128 as per the given fractions.

GCF of 818,412,128 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,103,261

LCM of Fractions 85/818,103/412,261/128 is 2285055/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 2285055

Least Common Multiple of 85,103,261 with GCF Formula

Least Common Multiple of 85,103,261 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 85,103,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,103,261) = 1

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

GCF(85,103,261) x common factors =1 x 1 = 1

LCM(85,103,261) = ( 85 × 103 × 261 ) / 1

LCM(85,103,261) = 2285055 / 1

LCM(85,103,261) = 2285055


Lets's calculate GCF of 818,412,128

2 818, 412, 128
409, 206, 64

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2285055/2

Therefore the LCM of Fractions 85/818,103/412,261/128 is 2285055/2

Greatest Common Factor of 818,412,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,412,128 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 818,412,128 . The biggest common factor number is the GCF number.
So the greatest common factor 818,412,128 is 2.


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 85/818, 103/412, 261/128

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 85/818, 103/412, 261/128?

Answer: LCM of Numerators as per given numbers 85/818, 103/412, 261/128 is

LCM of Numerators i.e. for 85,103,261 is 2285055

GCF of denominators i.e. for 818,412,128 is 2.

Thus, LCM of Fractions is 2285055/2.Finally, LCM of Fractions for 85/818, 103/412, 261/128 is 2285055/2.