Least Common Multiple of 491/73, 693/85, 688/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/73, 693/85, 688/490 quickly i.e. 234100944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/73, 693/85, 688/490 is 234100944.

LCM(491/73, 693/85, 688/490) = 234100944

LCM of 491/73, 693/85, 688/490

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 491/73,693/85,688/490

Given numbers are 491/73,693/85,688/490

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 491,693,688

Least Common Multiple of Numerators i.e. LCM of 491,693,688 is 234100944.

GCF of Denominators means GCF of 73,85,490 as per the given fractions.

GCF of 73,85,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,693,688

LCM of Fractions 491/73,693/85,688/490 is 234100944

Given numbers has no common factors except 1. So, there LCM is their product i.e 234100944

Least Common Multiple of 491,693,688 with GCF Formula

Least Common Multiple of 491,693,688 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 491,693,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,693,688) = 1

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

GCF(491,693,688) x common factors =1 x 1 = 1

LCM(491,693,688) = ( 491 × 693 × 688 ) / 1

LCM(491,693,688) = 234100944 / 1

LCM(491,693,688) = 234100944


Lets's calculate GCF of 73,85,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234100944/1

Therefore the LCM of Fractions 491/73,693/85,688/490 is 234100944

Greatest Common Factor of 73,85,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,85,490 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 73,85,490 . The biggest common factor number is the GCF number.
So the greatest common factor 73,85,490 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 491/73, 693/85, 688/490

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 491/73, 693/85, 688/490?

Answer: LCM of Numerators as per given numbers 491/73, 693/85, 688/490 is

LCM of Numerators i.e. for 491,693,688 is 234100944

GCF of denominators i.e. for 73,85,490 is 1.

Thus, LCM of Fractions is 234100944.Finally, LCM of Fractions for 491/73, 693/85, 688/490 is 234100944.