Least Common Multiple of 165/34, 983/7144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 165/34, 983/7144 quickly i.e. 162195/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 165/34, 983/7144 is 162195/2.

LCM(165/34, 983/7144) = 162195/2

LCM of 165/34, 983/7144

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 165/34,983/7144

Given numbers are 165/34,983/7144

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 165,983

Least Common Multiple of Numerators i.e. LCM of 165,983 is 162195.

GCF of Denominators means GCF of 34,7144 as per the given fractions.

GCF of 34,7144 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 165,983

LCM of Fractions 165/34,983/7144 is 162195/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 162195

Least Common Multiple of 165,983 with GCF Formula

Least Common Multiple of 165,983 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 165,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,983) = 1

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

GCF(165,983) x common factors =1 x 1 = 1

LCM(165,983) = ( 165 × 983 ) / 1

LCM(165,983) = 162195 / 1

LCM(165,983) = 162195


Lets's calculate GCF of 34,7144

2 34, 7144
17, 3572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162195/2

Therefore the LCM of Fractions 165/34,983/7144 is 162195/2

Greatest Common Factor of 34,7144 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,7144 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 7144

List of positive integer factors of 7144 that divides 7144 without a remainder.

1,2,4,8,19,38,47,76,94,152,188,376,893,1786,3572,7144

Greatest Common Factor

We found the factors 34,7144 . The biggest common factor number is the GCF number.
So the greatest common factor 34,7144 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 165/34, 983/7144

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 165/34, 983/7144?

Answer: LCM of Numerators as per given numbers 165/34, 983/7144 is

LCM of Numerators i.e. for 165,983 is 162195

GCF of denominators i.e. for 34,7144 is 2.

Thus, LCM of Fractions is 162195/2.Finally, LCM of Fractions for 165/34, 983/7144 is 162195/2.