Least Common Multiple of 97/288, 743/439, 571/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/288, 743/439, 571/312 quickly i.e. 41152541 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/288, 743/439, 571/312 is 41152541.

LCM(97/288, 743/439, 571/312) = 41152541

LCM of 97/288, 743/439, 571/312

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 97/288,743/439,571/312

Given numbers are 97/288,743/439,571/312

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 97,743,571

Least Common Multiple of Numerators i.e. LCM of 97,743,571 is 41152541.

GCF of Denominators means GCF of 288,439,312 as per the given fractions.

GCF of 288,439,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,743,571

LCM of Fractions 97/288,743/439,571/312 is 41152541

Given numbers has no common factors except 1. So, there LCM is their product i.e 41152541

Least Common Multiple of 97,743,571 with GCF Formula

Least Common Multiple of 97,743,571 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 97,743,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,743,571) = 1

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

GCF(97,743,571) x common factors =1 x 1 = 1

LCM(97,743,571) = ( 97 × 743 × 571 ) / 1

LCM(97,743,571) = 41152541 / 1

LCM(97,743,571) = 41152541


Lets's calculate GCF of 288,439,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41152541/1

Therefore the LCM of Fractions 97/288,743/439,571/312 is 41152541

Greatest Common Factor of 288,439,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,439,312 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 288,439,312 . The biggest common factor number is the GCF number.
So the greatest common factor 288,439,312 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 97/288, 743/439, 571/312

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 97/288, 743/439, 571/312?

Answer: LCM of Numerators as per given numbers 97/288, 743/439, 571/312 is

LCM of Numerators i.e. for 97,743,571 is 41152541

GCF of denominators i.e. for 288,439,312 is 1.

Thus, LCM of Fractions is 41152541.Finally, LCM of Fractions for 97/288, 743/439, 571/312 is 41152541.