Least Common Multiple of 8396/89, 4434/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8396/89, 4434/178 quickly i.e. 18613932/89 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8396/89, 4434/178 is 18613932/89.

LCM(8396/89, 4434/178) = 18613932/89

LCM of 8396/89, 4434/178

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 8396/89,4434/178

Given numbers are 8396/89,4434/178

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 8396,4434

Least Common Multiple of Numerators i.e. LCM of 8396,4434 is 18613932.

GCF of Denominators means GCF of 89,178 as per the given fractions.

GCF of 89,178 is 89 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8396,4434

LCM of Fractions 8396/89,4434/178 is 18613932/89

2 8396, 4434
4198, 2217

∴ So the LCM of the given numbers is 2 x 4198 x 2217 = 18613932

Least Common Multiple of 8396,4434 with GCF Formula

Least Common Multiple of 8396,4434 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 8396,4434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8396,4434) = 2

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

GCF(8396,4434) x common factors =2 x 1 = 2

LCM(8396,4434) = ( 8396 × 4434 ) / 2

LCM(8396,4434) = 37227864 / 2

LCM(8396,4434) = 18613932


Lets's calculate GCF of 89,178

89 89, 178
1, 2

∴ So the GCF of the given numbers is 89 = 89

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18613932/89

Therefore the LCM of Fractions 8396/89,4434/178 is 18613932/89

Greatest Common Factor of 89,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,178 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 89,178 . The biggest common factor number is the GCF number.
So the greatest common factor 89,178 is 89.


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Frequently Asked Questions on Fractional LCM of 8396/89, 4434/178

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 8396/89, 4434/178?

Answer: LCM of Numerators as per given numbers 8396/89, 4434/178 is

LCM of Numerators i.e. for 8396,4434 is 18613932

GCF of denominators i.e. for 89,178 is 89.

Thus, LCM of Fractions is 18613932/89.Finally, LCM of Fractions for 8396/89, 4434/178 is 18613932/89.