Least Common Multiple of 427/305, 277/565, 783/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/305, 277/565, 783/499 quickly i.e. 92612457 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/305, 277/565, 783/499 is 92612457.

LCM(427/305, 277/565, 783/499) = 92612457

LCM of 427/305, 277/565, 783/499

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 427/305,277/565,783/499

Given numbers are 427/305,277/565,783/499

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 427,277,783

Least Common Multiple of Numerators i.e. LCM of 427,277,783 is 92612457.

GCF of Denominators means GCF of 305,565,499 as per the given fractions.

GCF of 305,565,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,277,783

LCM of Fractions 427/305,277/565,783/499 is 92612457

Given numbers has no common factors except 1. So, there LCM is their product i.e 92612457

Least Common Multiple of 427,277,783 with GCF Formula

Least Common Multiple of 427,277,783 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 427,277,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,277,783) = 1

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

GCF(427,277,783) x common factors =1 x 1 = 1

LCM(427,277,783) = ( 427 × 277 × 783 ) / 1

LCM(427,277,783) = 92612457 / 1

LCM(427,277,783) = 92612457


Lets's calculate GCF of 305,565,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92612457/1

Therefore the LCM of Fractions 427/305,277/565,783/499 is 92612457

Greatest Common Factor of 305,565,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,565,499 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 305,565,499 . The biggest common factor number is the GCF number.
So the greatest common factor 305,565,499 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 427/305, 277/565, 783/499

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 427/305, 277/565, 783/499?

Answer: LCM of Numerators as per given numbers 427/305, 277/565, 783/499 is

LCM of Numerators i.e. for 427,277,783 is 92612457

GCF of denominators i.e. for 305,565,499 is 1.

Thus, LCM of Fractions is 92612457.Finally, LCM of Fractions for 427/305, 277/565, 783/499 is 92612457.