Least Common Multiple of 495/59, 731/6602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 495/59, 731/6602 quickly i.e. 361845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/59, 731/6602 is 361845.

LCM(495/59, 731/6602) = 361845

LCM of 495/59, 731/6602

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 495/59,731/6602

Given numbers are 495/59,731/6602

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 495,731

Least Common Multiple of Numerators i.e. LCM of 495,731 is 361845.

GCF of Denominators means GCF of 59,6602 as per the given fractions.

GCF of 59,6602 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,731

LCM of Fractions 495/59,731/6602 is 361845

Given numbers has no common factors except 1. So, there LCM is their product i.e 361845

Least Common Multiple of 495,731 with GCF Formula

Least Common Multiple of 495,731 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 495,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,731) = 1

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

GCF(495,731) x common factors =1 x 1 = 1

LCM(495,731) = ( 495 × 731 ) / 1

LCM(495,731) = 361845 / 1

LCM(495,731) = 361845


Lets's calculate GCF of 59,6602

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361845/1

Therefore the LCM of Fractions 495/59,731/6602 is 361845

Greatest Common Factor of 59,6602 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,6602 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 6602

List of positive integer factors of 6602 that divides 6602 without a remainder.

1,2,3301,6602

Greatest Common Factor

We found the factors 59,6602 . The biggest common factor number is the GCF number.
So the greatest common factor 59,6602 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 495/59, 731/6602

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 495/59, 731/6602?

Answer: LCM of Numerators as per given numbers 495/59, 731/6602 is

LCM of Numerators i.e. for 495,731 is 361845

GCF of denominators i.e. for 59,6602 is 1.

Thus, LCM of Fractions is 361845.Finally, LCM of Fractions for 495/59, 731/6602 is 361845.