Least Common Multiple of 80/497, 710/375, 535/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/497, 710/375, 535/475 quickly i.e. 607760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/497, 710/375, 535/475 is 607760.

LCM(80/497, 710/375, 535/475) = 607760

LCM of 80/497, 710/375, 535/475

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 80/497,710/375,535/475

Given numbers are 80/497,710/375,535/475

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 80,710,535

Least Common Multiple of Numerators i.e. LCM of 80,710,535 is 607760.

GCF of Denominators means GCF of 497,375,475 as per the given fractions.

GCF of 497,375,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,710,535

LCM of Fractions 80/497,710/375,535/475 is 607760

2 80, 710, 535
5 40, 355, 535
8, 71, 107

∴ So the LCM of the given numbers is 2 x 5 x 8 x 71 x 107 = 607760

Least Common Multiple of 80,710,535 with GCF Formula

Least Common Multiple of 80,710,535 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 80,710,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,710,535) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(80,710,535) x common factors =5 x 10 = 50

LCM(80,710,535) = ( 80 × 710 × 535 ) / 50

LCM(80,710,535) = 30388000 / 50

LCM(80,710,535) = 607760


Lets's calculate GCF of 497,375,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 607760/1

Therefore the LCM of Fractions 80/497,710/375,535/475 is 607760

Greatest Common Factor of 497,375,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,375,475 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 497,375,475 . The biggest common factor number is the GCF number.
So the greatest common factor 497,375,475 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 80/497, 710/375, 535/475

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 80/497, 710/375, 535/475?

Answer: LCM of Numerators as per given numbers 80/497, 710/375, 535/475 is

LCM of Numerators i.e. for 80,710,535 is 607760

GCF of denominators i.e. for 497,375,475 is 1.

Thus, LCM of Fractions is 607760.Finally, LCM of Fractions for 80/497, 710/375, 535/475 is 607760.