Least Common Multiple of 119/33, 182/7704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 119/33, 182/7704 quickly i.e. 3094/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 119/33, 182/7704 is 3094/3.

LCM(119/33, 182/7704) = 3094/3

LCM of 119/33, 182/7704

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 119/33,182/7704

Given numbers are 119/33,182/7704

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 119,182

Least Common Multiple of Numerators i.e. LCM of 119,182 is 3094.

GCF of Denominators means GCF of 33,7704 as per the given fractions.

GCF of 33,7704 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 119,182

LCM of Fractions 119/33,182/7704 is 3094/3

7 119, 182
17, 26

∴ So the LCM of the given numbers is 7 x 17 x 26 = 3094

Least Common Multiple of 119,182 with GCF Formula

Least Common Multiple of 119,182 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 119,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,182) = 7

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

GCF(119,182) x common factors =7 x 1 = 7

LCM(119,182) = ( 119 × 182 ) / 7

LCM(119,182) = 21658 / 7

LCM(119,182) = 3094


Lets's calculate GCF of 33,7704

3 33, 7704
11, 2568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3094/3

Therefore the LCM of Fractions 119/33,182/7704 is 3094/3

Greatest Common Factor of 33,7704 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,7704 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 7704

List of positive integer factors of 7704 that divides 7704 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704

Greatest Common Factor

We found the factors 33,7704 . The biggest common factor number is the GCF number.
So the greatest common factor 33,7704 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 119/33, 182/7704

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 119/33, 182/7704?

Answer: LCM of Numerators as per given numbers 119/33, 182/7704 is

LCM of Numerators i.e. for 119,182 is 3094

GCF of denominators i.e. for 33,7704 is 3.

Thus, LCM of Fractions is 3094/3.Finally, LCM of Fractions for 119/33, 182/7704 is 3094/3.