Least Common Multiple of 69/381, 22/420, 289/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/381, 22/420, 289/823 quickly i.e. 438702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/381, 22/420, 289/823 is 438702.

LCM(69/381, 22/420, 289/823) = 438702

LCM of 69/381, 22/420, 289/823

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 69/381,22/420,289/823

Given numbers are 69/381,22/420,289/823

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 69,22,289

Least Common Multiple of Numerators i.e. LCM of 69,22,289 is 438702.

GCF of Denominators means GCF of 381,420,823 as per the given fractions.

GCF of 381,420,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,22,289

LCM of Fractions 69/381,22/420,289/823 is 438702

Given numbers has no common factors except 1. So, there LCM is their product i.e 438702

Least Common Multiple of 69,22,289 with GCF Formula

Least Common Multiple of 69,22,289 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 69,22,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,22,289) = 1

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

GCF(69,22,289) x common factors =1 x 1 = 1

LCM(69,22,289) = ( 69 × 22 × 289 ) / 1

LCM(69,22,289) = 438702 / 1

LCM(69,22,289) = 438702


Lets's calculate GCF of 381,420,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438702/1

Therefore the LCM of Fractions 69/381,22/420,289/823 is 438702

Greatest Common Factor of 381,420,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,420,823 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 381,420,823 . The biggest common factor number is the GCF number.
So the greatest common factor 381,420,823 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 69/381, 22/420, 289/823

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 69/381, 22/420, 289/823?

Answer: LCM of Numerators as per given numbers 69/381, 22/420, 289/823 is

LCM of Numerators i.e. for 69,22,289 is 438702

GCF of denominators i.e. for 381,420,823 is 1.

Thus, LCM of Fractions is 438702.Finally, LCM of Fractions for 69/381, 22/420, 289/823 is 438702.