Least Common Multiple of 269/41, 978/2789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 269/41, 978/2789 quickly i.e. 263082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 269/41, 978/2789 is 263082.

LCM(269/41, 978/2789) = 263082

LCM of 269/41, 978/2789

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 269/41,978/2789

Given numbers are 269/41,978/2789

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 269,978

Least Common Multiple of Numerators i.e. LCM of 269,978 is 263082.

GCF of Denominators means GCF of 41,2789 as per the given fractions.

GCF of 41,2789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 269,978

LCM of Fractions 269/41,978/2789 is 263082

Given numbers has no common factors except 1. So, there LCM is their product i.e 263082

Least Common Multiple of 269,978 with GCF Formula

Least Common Multiple of 269,978 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 269,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,978) = 1

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

GCF(269,978) x common factors =1 x 1 = 1

LCM(269,978) = ( 269 × 978 ) / 1

LCM(269,978) = 263082 / 1

LCM(269,978) = 263082


Lets's calculate GCF of 41,2789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263082/1

Therefore the LCM of Fractions 269/41,978/2789 is 263082

Greatest Common Factor of 41,2789 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,2789 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 2789

List of positive integer factors of 2789 that divides 2789 without a remainder.

1,2789

Greatest Common Factor

We found the factors 41,2789 . The biggest common factor number is the GCF number.
So the greatest common factor 41,2789 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 269/41, 978/2789

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 269/41, 978/2789?

Answer: LCM of Numerators as per given numbers 269/41, 978/2789 is

LCM of Numerators i.e. for 269,978 is 263082

GCF of denominators i.e. for 41,2789 is 1.

Thus, LCM of Fractions is 263082.Finally, LCM of Fractions for 269/41, 978/2789 is 263082.