Least Common Multiple of 352/618, 599/891, 242/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/618, 599/891, 242/324 quickly i.e. 2319328/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/618, 599/891, 242/324 is 2319328/3.

LCM(352/618, 599/891, 242/324) = 2319328/3

LCM of 352/618, 599/891, 242/324

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 352/618,599/891,242/324

Given numbers are 352/618,599/891,242/324

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 352,599,242

Least Common Multiple of Numerators i.e. LCM of 352,599,242 is 2319328.

GCF of Denominators means GCF of 618,891,324 as per the given fractions.

GCF of 618,891,324 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,599,242

LCM of Fractions 352/618,599/891,242/324 is 2319328/3

2 352, 599, 242
11 176, 599, 121
16, 599, 11

∴ So the LCM of the given numbers is 2 x 11 x 16 x 599 x 11 = 2319328

Least Common Multiple of 352,599,242 with GCF Formula

Least Common Multiple of 352,599,242 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 352,599,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,599,242) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(352,599,242) x common factors =1 x 22 = 22

LCM(352,599,242) = ( 352 × 599 × 242 ) / 22

LCM(352,599,242) = 51025216 / 22

LCM(352,599,242) = 2319328


Lets's calculate GCF of 618,891,324

3 618, 891, 324
206, 297, 108

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2319328/3

Therefore the LCM of Fractions 352/618,599/891,242/324 is 2319328/3

Greatest Common Factor of 618,891,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,891,324 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 618,891,324 . The biggest common factor number is the GCF number.
So the greatest common factor 618,891,324 is 3.


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 352/618, 599/891, 242/324

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 352/618, 599/891, 242/324?

Answer: LCM of Numerators as per given numbers 352/618, 599/891, 242/324 is

LCM of Numerators i.e. for 352,599,242 is 2319328

GCF of denominators i.e. for 618,891,324 is 3.

Thus, LCM of Fractions is 2319328/3.Finally, LCM of Fractions for 352/618, 599/891, 242/324 is 2319328/3.