Least Common Multiple of 22/804, 3173/7352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/804, 3173/7352 quickly i.e. 69806/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/804, 3173/7352 is 69806/4.

LCM(22/804, 3173/7352) = 69806/4

LCM of 22/804, 3173/7352

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 22/804,3173/7352

Given numbers are 22/804,3173/7352

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 22,3173

Least Common Multiple of Numerators i.e. LCM of 22,3173 is 69806.

GCF of Denominators means GCF of 804,7352 as per the given fractions.

GCF of 804,7352 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,3173

LCM of Fractions 22/804,3173/7352 is 69806/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 69806

Least Common Multiple of 22,3173 with GCF Formula

Least Common Multiple of 22,3173 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 22,3173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,3173) = 1

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

GCF(22,3173) x common factors =1 x 1 = 1

LCM(22,3173) = ( 22 × 3173 ) / 1

LCM(22,3173) = 69806 / 1

LCM(22,3173) = 69806


Lets's calculate GCF of 804,7352

2 804, 7352
2 402, 3676
201, 1838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69806/4

Therefore the LCM of Fractions 22/804,3173/7352 is 69806/4

Greatest Common Factor of 804,7352 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,7352 By Matching Biggest Common Factor Method

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

Factors of 7352

List of positive integer factors of 7352 that divides 7352 without a remainder.

1,2,4,8,919,1838,3676,7352

Greatest Common Factor

We found the factors 804,7352 . The biggest common factor number is the GCF number.
So the greatest common factor 804,7352 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/804, 3173/7352

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 22/804, 3173/7352?

Answer: LCM of Numerators as per given numbers 22/804, 3173/7352 is

LCM of Numerators i.e. for 22,3173 is 69806

GCF of denominators i.e. for 804,7352 is 4.

Thus, LCM of Fractions is 69806/4.Finally, LCM of Fractions for 22/804, 3173/7352 is 69806/4.