Least Common Multiple of 499/785, 181/301, 677/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 499/785, 181/301, 677/307 quickly i.e. 61145963 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 499/785, 181/301, 677/307 is 61145963.

LCM(499/785, 181/301, 677/307) = 61145963

LCM of 499/785, 181/301, 677/307

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 499/785,181/301,677/307

Given numbers are 499/785,181/301,677/307

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 499,181,677

Least Common Multiple of Numerators i.e. LCM of 499,181,677 is 61145963.

GCF of Denominators means GCF of 785,301,307 as per the given fractions.

GCF of 785,301,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 499,181,677

LCM of Fractions 499/785,181/301,677/307 is 61145963

Given numbers has no common factors except 1. So, there LCM is their product i.e 61145963

Least Common Multiple of 499,181,677 with GCF Formula

Least Common Multiple of 499,181,677 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 499,181,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,181,677) = 1

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

GCF(499,181,677) x common factors =1 x 1 = 1

LCM(499,181,677) = ( 499 × 181 × 677 ) / 1

LCM(499,181,677) = 61145963 / 1

LCM(499,181,677) = 61145963


Lets's calculate GCF of 785,301,307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61145963/1

Therefore the LCM of Fractions 499/785,181/301,677/307 is 61145963

Greatest Common Factor of 785,301,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,301,307 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 785,301,307 . The biggest common factor number is the GCF number.
So the greatest common factor 785,301,307 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 499/785, 181/301, 677/307

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 499/785, 181/301, 677/307?

Answer: LCM of Numerators as per given numbers 499/785, 181/301, 677/307 is

LCM of Numerators i.e. for 499,181,677 is 61145963

GCF of denominators i.e. for 785,301,307 is 1.

Thus, LCM of Fractions is 61145963.Finally, LCM of Fractions for 499/785, 181/301, 677/307 is 61145963.