Least Common Multiple of 89/523, 160/292, 343/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/523, 160/292, 343/461 quickly i.e. 4884320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/523, 160/292, 343/461 is 4884320.

LCM(89/523, 160/292, 343/461) = 4884320

LCM of 89/523, 160/292, 343/461

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 89/523,160/292,343/461

Given numbers are 89/523,160/292,343/461

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 89,160,343

Least Common Multiple of Numerators i.e. LCM of 89,160,343 is 4884320.

GCF of Denominators means GCF of 523,292,461 as per the given fractions.

GCF of 523,292,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,160,343

LCM of Fractions 89/523,160/292,343/461 is 4884320

Given numbers has no common factors except 1. So, there LCM is their product i.e 4884320

Least Common Multiple of 89,160,343 with GCF Formula

Least Common Multiple of 89,160,343 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 89,160,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,160,343) = 1

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

GCF(89,160,343) x common factors =1 x 1 = 1

LCM(89,160,343) = ( 89 × 160 × 343 ) / 1

LCM(89,160,343) = 4884320 / 1

LCM(89,160,343) = 4884320


Lets's calculate GCF of 523,292,461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4884320/1

Therefore the LCM of Fractions 89/523,160/292,343/461 is 4884320

Greatest Common Factor of 523,292,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,292,461 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 523,292,461 . The biggest common factor number is the GCF number.
So the greatest common factor 523,292,461 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 89/523, 160/292, 343/461

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 89/523, 160/292, 343/461?

Answer: LCM of Numerators as per given numbers 89/523, 160/292, 343/461 is

LCM of Numerators i.e. for 89,160,343 is 4884320

GCF of denominators i.e. for 523,292,461 is 1.

Thus, LCM of Fractions is 4884320.Finally, LCM of Fractions for 89/523, 160/292, 343/461 is 4884320.