Least Common Multiple of 269/25, 783/5986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 269/25, 783/5986 quickly i.e. 210627 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 269/25, 783/5986 is 210627.

LCM(269/25, 783/5986) = 210627

LCM of 269/25, 783/5986

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 269/25,783/5986

Given numbers are 269/25,783/5986

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 269,783

Least Common Multiple of Numerators i.e. LCM of 269,783 is 210627.

GCF of Denominators means GCF of 25,5986 as per the given fractions.

GCF of 25,5986 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 269,783

LCM of Fractions 269/25,783/5986 is 210627

Given numbers has no common factors except 1. So, there LCM is their product i.e 210627

Least Common Multiple of 269,783 with GCF Formula

Least Common Multiple of 269,783 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 269,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,783) = 1

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

GCF(269,783) x common factors =1 x 1 = 1

LCM(269,783) = ( 269 × 783 ) / 1

LCM(269,783) = 210627 / 1

LCM(269,783) = 210627


Lets's calculate GCF of 25,5986

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210627/1

Therefore the LCM of Fractions 269/25,783/5986 is 210627

Greatest Common Factor of 25,5986 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,5986 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 5986

List of positive integer factors of 5986 that divides 5986 without a remainder.

1,2,41,73,82,146,2993,5986

Greatest Common Factor

We found the factors 25,5986 . The biggest common factor number is the GCF number.
So the greatest common factor 25,5986 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 269/25, 783/5986

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 269/25, 783/5986?

Answer: LCM of Numerators as per given numbers 269/25, 783/5986 is

LCM of Numerators i.e. for 269,783 is 210627

GCF of denominators i.e. for 25,5986 is 1.

Thus, LCM of Fractions is 210627.Finally, LCM of Fractions for 269/25, 783/5986 is 210627.