Least Common Multiple of 97/583, 40/424, 494/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/583, 40/424, 494/532 quickly i.e. 958360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/583, 40/424, 494/532 is 958360.

LCM(97/583, 40/424, 494/532) = 958360

LCM of 97/583, 40/424, 494/532

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 97/583,40/424,494/532

Given numbers are 97/583,40/424,494/532

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 97,40,494

Least Common Multiple of Numerators i.e. LCM of 97,40,494 is 958360.

GCF of Denominators means GCF of 583,424,532 as per the given fractions.

GCF of 583,424,532 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,40,494

LCM of Fractions 97/583,40/424,494/532 is 958360

2 97, 40, 494
97, 20, 247

∴ So the LCM of the given numbers is 2 x 97 x 20 x 247 = 958360

Least Common Multiple of 97,40,494 with GCF Formula

Least Common Multiple of 97,40,494 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 97,40,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,40,494) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(97,40,494) x common factors =1 x 2 = 2

LCM(97,40,494) = ( 97 × 40 × 494 ) / 2

LCM(97,40,494) = 1916720 / 2

LCM(97,40,494) = 958360


Lets's calculate GCF of 583,424,532

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 958360/1

Therefore the LCM of Fractions 97/583,40/424,494/532 is 958360

Greatest Common Factor of 583,424,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,424,532 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 583,424,532 . The biggest common factor number is the GCF number.
So the greatest common factor 583,424,532 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 97/583, 40/424, 494/532

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 97/583, 40/424, 494/532?

Answer: LCM of Numerators as per given numbers 97/583, 40/424, 494/532 is

LCM of Numerators i.e. for 97,40,494 is 958360

GCF of denominators i.e. for 583,424,532 is 1.

Thus, LCM of Fractions is 958360.Finally, LCM of Fractions for 97/583, 40/424, 494/532 is 958360.