Least Common Multiple of 83/178, 5673/4976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/178, 5673/4976 quickly i.e. 470859/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/178, 5673/4976 is 470859/2.

LCM(83/178, 5673/4976) = 470859/2

LCM of 83/178, 5673/4976

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 83/178,5673/4976

Given numbers are 83/178,5673/4976

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 83,5673

Least Common Multiple of Numerators i.e. LCM of 83,5673 is 470859.

GCF of Denominators means GCF of 178,4976 as per the given fractions.

GCF of 178,4976 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,5673

LCM of Fractions 83/178,5673/4976 is 470859/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 470859

Least Common Multiple of 83,5673 with GCF Formula

Least Common Multiple of 83,5673 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 83,5673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,5673) = 1

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

GCF(83,5673) x common factors =1 x 1 = 1

LCM(83,5673) = ( 83 × 5673 ) / 1

LCM(83,5673) = 470859 / 1

LCM(83,5673) = 470859


Lets's calculate GCF of 178,4976

2 178, 4976
89, 2488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470859/2

Therefore the LCM of Fractions 83/178,5673/4976 is 470859/2

Greatest Common Factor of 178,4976 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,4976 By Matching Biggest Common Factor Method

Factors of 178

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

1,2,89,178

Factors of 4976

List of positive integer factors of 4976 that divides 4976 without a remainder.

1,2,4,8,16,311,622,1244,2488,4976

Greatest Common Factor

We found the factors 178,4976 . The biggest common factor number is the GCF number.
So the greatest common factor 178,4976 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/178, 5673/4976

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 83/178, 5673/4976?

Answer: LCM of Numerators as per given numbers 83/178, 5673/4976 is

LCM of Numerators i.e. for 83,5673 is 470859

GCF of denominators i.e. for 178,4976 is 2.

Thus, LCM of Fractions is 470859/2.Finally, LCM of Fractions for 83/178, 5673/4976 is 470859/2.