Least Common Multiple of 722/33, 138/5511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 722/33, 138/5511 quickly i.e. 49818/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 722/33, 138/5511 is 49818/33.

LCM(722/33, 138/5511) = 49818/33

LCM of 722/33, 138/5511

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 722/33,138/5511

Given numbers are 722/33,138/5511

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 722,138

Least Common Multiple of Numerators i.e. LCM of 722,138 is 49818.

GCF of Denominators means GCF of 33,5511 as per the given fractions.

GCF of 33,5511 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 722,138

LCM of Fractions 722/33,138/5511 is 49818/33

2 722, 138
361, 69

∴ So the LCM of the given numbers is 2 x 361 x 69 = 49818

Least Common Multiple of 722,138 with GCF Formula

Least Common Multiple of 722,138 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 722,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,138) = 2

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

GCF(722,138) x common factors =2 x 1 = 2

LCM(722,138) = ( 722 × 138 ) / 2

LCM(722,138) = 99636 / 2

LCM(722,138) = 49818


Lets's calculate GCF of 33,5511

3 33, 5511
11 11, 1837
1, 167

∴ So the GCF of the given numbers is 3 x 11 = 33

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49818/33

Therefore the LCM of Fractions 722/33,138/5511 is 49818/33

Greatest Common Factor of 33,5511 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,5511 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 5511

List of positive integer factors of 5511 that divides 5511 without a remainder.

1,3,11,33,167,501,1837,5511

Greatest Common Factor

We found the factors 33,5511 . The biggest common factor number is the GCF number.
So the greatest common factor 33,5511 is 33.


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 722/33, 138/5511

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 722/33, 138/5511?

Answer: LCM of Numerators as per given numbers 722/33, 138/5511 is

LCM of Numerators i.e. for 722,138 is 49818

GCF of denominators i.e. for 33,5511 is 33.

Thus, LCM of Fractions is 49818/33.Finally, LCM of Fractions for 722/33, 138/5511 is 49818/33.