Least Common Multiple of 627/73, 161/6144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 627/73, 161/6144 quickly i.e. 100947 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 627/73, 161/6144 is 100947.

LCM(627/73, 161/6144) = 100947

LCM of 627/73, 161/6144

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 627/73,161/6144

Given numbers are 627/73,161/6144

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 627,161

Least Common Multiple of Numerators i.e. LCM of 627,161 is 100947.

GCF of Denominators means GCF of 73,6144 as per the given fractions.

GCF of 73,6144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 627,161

LCM of Fractions 627/73,161/6144 is 100947

Given numbers has no common factors except 1. So, there LCM is their product i.e 100947

Least Common Multiple of 627,161 with GCF Formula

Least Common Multiple of 627,161 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 627,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,161) = 1

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

GCF(627,161) x common factors =1 x 1 = 1

LCM(627,161) = ( 627 × 161 ) / 1

LCM(627,161) = 100947 / 1

LCM(627,161) = 100947


Lets's calculate GCF of 73,6144

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100947/1

Therefore the LCM of Fractions 627/73,161/6144 is 100947

Greatest Common Factor of 73,6144 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,6144 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 6144

List of positive integer factors of 6144 that divides 6144 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,2048,3072,6144

Greatest Common Factor

We found the factors 73,6144 . The biggest common factor number is the GCF number.
So the greatest common factor 73,6144 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 627/73, 161/6144

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 627/73, 161/6144?

Answer: LCM of Numerators as per given numbers 627/73, 161/6144 is

LCM of Numerators i.e. for 627,161 is 100947

GCF of denominators i.e. for 73,6144 is 1.

Thus, LCM of Fractions is 100947.Finally, LCM of Fractions for 627/73, 161/6144 is 100947.