Least Common Multiple of 298/592, 7184/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 298/592, 7184/862 quickly i.e. 535208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 298/592, 7184/862 is 535208.

LCM(298/592, 7184/862) = 535208

LCM of 298/592, 7184/862

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 298/592,7184/862

Given numbers are 298/592,7184/862

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 298,7184

Least Common Multiple of Numerators i.e. LCM of 298,7184 is 1070416.

GCF of Denominators means GCF of 592,862 as per the given fractions.

GCF of 592,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 298,7184

LCM of Fractions 298/592,7184/862 is 535208

2 298, 7184
149, 3592

∴ So the LCM of the given numbers is 2 x 149 x 3592 = 1070416

Least Common Multiple of 298,7184 with GCF Formula

Least Common Multiple of 298,7184 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 298,7184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,7184) = 2

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

GCF(298,7184) x common factors =2 x 1 = 2

LCM(298,7184) = ( 298 × 7184 ) / 2

LCM(298,7184) = 2140832 / 2

LCM(298,7184) = 1070416


Lets's calculate GCF of 592,862

2 592, 862
296, 431

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1070416/2

Therefore the LCM of Fractions 298/592,7184/862 is 535208

Greatest Common Factor of 592,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,862 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 592,862 . The biggest common factor number is the GCF number.
So the greatest common factor 592,862 is 2.


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 298/592, 7184/862

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 298/592, 7184/862?

Answer: LCM of Numerators as per given numbers 298/592, 7184/862 is

LCM of Numerators i.e. for 298,7184 is 1070416

GCF of denominators i.e. for 592,862 is 2.

Thus, LCM of Fractions is 535208.Finally, LCM of Fractions for 298/592, 7184/862 is 535208.