Least Common Multiple of 269/30, 900/23, 427/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 269/30, 900/23, 427/82 quickly i.e. 103376700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 269/30, 900/23, 427/82 is 103376700.

LCM(269/30, 900/23, 427/82) = 103376700

LCM of 269/30, 900/23, 427/82

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 269/30,900/23,427/82

Given numbers are 269/30,900/23,427/82

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 269,900,427

Least Common Multiple of Numerators i.e. LCM of 269,900,427 is 103376700.

GCF of Denominators means GCF of 30,23,82 as per the given fractions.

GCF of 30,23,82 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 269,900,427

LCM of Fractions 269/30,900/23,427/82 is 103376700

Given numbers has no common factors except 1. So, there LCM is their product i.e 103376700

Least Common Multiple of 269,900,427 with GCF Formula

Least Common Multiple of 269,900,427 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 269,900,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,900,427) = 1

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

GCF(269,900,427) x common factors =1 x 1 = 1

LCM(269,900,427) = ( 269 × 900 × 427 ) / 1

LCM(269,900,427) = 103376700 / 1

LCM(269,900,427) = 103376700


Lets's calculate GCF of 30,23,82

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103376700/1

Therefore the LCM of Fractions 269/30,900/23,427/82 is 103376700

Greatest Common Factor of 30,23,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,23,82 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 30,23,82 . The biggest common factor number is the GCF number.
So the greatest common factor 30,23,82 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 269/30, 900/23, 427/82

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 269/30, 900/23, 427/82?

Answer: LCM of Numerators as per given numbers 269/30, 900/23, 427/82 is

LCM of Numerators i.e. for 269,900,427 is 103376700

GCF of denominators i.e. for 30,23,82 is 1.

Thus, LCM of Fractions is 103376700.Finally, LCM of Fractions for 269/30, 900/23, 427/82 is 103376700.