Least Common Multiple of 356/66, 242/18, 494/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 356/66, 242/18, 494/789 quickly i.e. 10639772/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 356/66, 242/18, 494/789 is 10639772/3.

LCM(356/66, 242/18, 494/789) = 10639772/3

LCM of 356/66, 242/18, 494/789

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 356/66,242/18,494/789

Given numbers are 356/66,242/18,494/789

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 356,242,494

Least Common Multiple of Numerators i.e. LCM of 356,242,494 is 10639772.

GCF of Denominators means GCF of 66,18,789 as per the given fractions.

GCF of 66,18,789 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 356,242,494

LCM of Fractions 356/66,242/18,494/789 is 10639772/3

2 356, 242, 494
178, 121, 247

∴ So the LCM of the given numbers is 2 x 178 x 121 x 247 = 10639772

Least Common Multiple of 356,242,494 with GCF Formula

Least Common Multiple of 356,242,494 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 356,242,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,242,494) = 2

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

GCF(356,242,494) x common factors =2 x 2 = 4

LCM(356,242,494) = ( 356 × 242 × 494 ) / 4

LCM(356,242,494) = 42559088 / 4

LCM(356,242,494) = 10639772


Lets's calculate GCF of 66,18,789

3 66, 18, 789
22, 6, 263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10639772/3

Therefore the LCM of Fractions 356/66,242/18,494/789 is 10639772/3

Greatest Common Factor of 66,18,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,18,789 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 66,18,789 . The biggest common factor number is the GCF number.
So the greatest common factor 66,18,789 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 356/66, 242/18, 494/789

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 356/66, 242/18, 494/789?

Answer: LCM of Numerators as per given numbers 356/66, 242/18, 494/789 is

LCM of Numerators i.e. for 356,242,494 is 10639772

GCF of denominators i.e. for 66,18,789 is 3.

Thus, LCM of Fractions is 10639772/3.Finally, LCM of Fractions for 356/66, 242/18, 494/789 is 10639772/3.