Least Common Multiple of 493/791, 489/767, 709/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/791, 489/767, 709/709 quickly i.e. 170923593 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/791, 489/767, 709/709 is 170923593.

LCM(493/791, 489/767, 709/709) = 170923593

LCM of 493/791, 489/767, 709/709

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 493/791,489/767,709/709

Given numbers are 493/791,489/767,709/709

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 493,489,709

Least Common Multiple of Numerators i.e. LCM of 493,489,709 is 170923593.

GCF of Denominators means GCF of 791,767,709 as per the given fractions.

GCF of 791,767,709 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,489,709

LCM of Fractions 493/791,489/767,709/709 is 170923593

Given numbers has no common factors except 1. So, there LCM is their product i.e 170923593

Least Common Multiple of 493,489,709 with GCF Formula

Least Common Multiple of 493,489,709 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 493,489,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,489,709) = 1

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

GCF(493,489,709) x common factors =1 x 1 = 1

LCM(493,489,709) = ( 493 × 489 × 709 ) / 1

LCM(493,489,709) = 170923593 / 1

LCM(493,489,709) = 170923593


Lets's calculate GCF of 791,767,709

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170923593/1

Therefore the LCM of Fractions 493/791,489/767,709/709 is 170923593

Greatest Common Factor of 791,767,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,767,709 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 791,767,709 . The biggest common factor number is the GCF number.
So the greatest common factor 791,767,709 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 493/791, 489/767, 709/709

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 493/791, 489/767, 709/709?

Answer: LCM of Numerators as per given numbers 493/791, 489/767, 709/709 is

LCM of Numerators i.e. for 493,489,709 is 170923593

GCF of denominators i.e. for 791,767,709 is 1.

Thus, LCM of Fractions is 170923593.Finally, LCM of Fractions for 493/791, 489/767, 709/709 is 170923593.