Least Common Multiple of 884/85, 268/69, 226/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 884/85, 268/69, 226/424 quickly i.e. 6692764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 884/85, 268/69, 226/424 is 6692764.

LCM(884/85, 268/69, 226/424) = 6692764

LCM of 884/85, 268/69, 226/424

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 884/85,268/69,226/424

Given numbers are 884/85,268/69,226/424

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 884,268,226

Least Common Multiple of Numerators i.e. LCM of 884,268,226 is 6692764.

GCF of Denominators means GCF of 85,69,424 as per the given fractions.

GCF of 85,69,424 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 884,268,226

LCM of Fractions 884/85,268/69,226/424 is 6692764

2 884, 268, 226
2 442, 134, 113
221, 67, 113

∴ So the LCM of the given numbers is 2 x 2 x 221 x 67 x 113 = 6692764

Least Common Multiple of 884,268,226 with GCF Formula

Least Common Multiple of 884,268,226 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 884,268,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,268,226) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(884,268,226) x common factors =2 x 4 = 8

LCM(884,268,226) = ( 884 × 268 × 226 ) / 8

LCM(884,268,226) = 53542112 / 8

LCM(884,268,226) = 6692764


Lets's calculate GCF of 85,69,424

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6692764/1

Therefore the LCM of Fractions 884/85,268/69,226/424 is 6692764

Greatest Common Factor of 85,69,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,69,424 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 85,69,424 . The biggest common factor number is the GCF number.
So the greatest common factor 85,69,424 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 884/85, 268/69, 226/424

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 884/85, 268/69, 226/424?

Answer: LCM of Numerators as per given numbers 884/85, 268/69, 226/424 is

LCM of Numerators i.e. for 884,268,226 is 6692764

GCF of denominators i.e. for 85,69,424 is 1.

Thus, LCM of Fractions is 6692764.Finally, LCM of Fractions for 884/85, 268/69, 226/424 is 6692764.