Least Common Multiple of 211/328, 5512/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 211/328, 5512/804 quickly i.e. 290758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 211/328, 5512/804 is 290758.

LCM(211/328, 5512/804) = 290758

LCM of 211/328, 5512/804

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 211/328,5512/804

Given numbers are 211/328,5512/804

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 211,5512

Least Common Multiple of Numerators i.e. LCM of 211,5512 is 1163032.

GCF of Denominators means GCF of 328,804 as per the given fractions.

GCF of 328,804 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 211,5512

LCM of Fractions 211/328,5512/804 is 290758

Given numbers has no common factors except 1. So, there LCM is their product i.e 1163032

Least Common Multiple of 211,5512 with GCF Formula

Least Common Multiple of 211,5512 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 211,5512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,5512) = 1

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

GCF(211,5512) x common factors =1 x 1 = 1

LCM(211,5512) = ( 211 × 5512 ) / 1

LCM(211,5512) = 1163032 / 1

LCM(211,5512) = 1163032


Lets's calculate GCF of 328,804

2 328, 804
2 164, 402
82, 201

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1163032/4

Therefore the LCM of Fractions 211/328,5512/804 is 290758

Greatest Common Factor of 328,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,804 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 328,804 . The biggest common factor number is the GCF number.
So the greatest common factor 328,804 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 211/328, 5512/804

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 211/328, 5512/804?

Answer: LCM of Numerators as per given numbers 211/328, 5512/804 is

LCM of Numerators i.e. for 211,5512 is 1163032

GCF of denominators i.e. for 328,804 is 4.

Thus, LCM of Fractions is 290758.Finally, LCM of Fractions for 211/328, 5512/804 is 290758.