Least Common Multiple of 674/32, 164/9062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/32, 164/9062 quickly i.e. 27634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/32, 164/9062 is 27634.

LCM(674/32, 164/9062) = 27634

LCM of 674/32, 164/9062

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 674/32,164/9062

Given numbers are 674/32,164/9062

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 674,164

Least Common Multiple of Numerators i.e. LCM of 674,164 is 55268.

GCF of Denominators means GCF of 32,9062 as per the given fractions.

GCF of 32,9062 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,164

LCM of Fractions 674/32,164/9062 is 27634

2 674, 164
337, 82

∴ So the LCM of the given numbers is 2 x 337 x 82 = 55268

Least Common Multiple of 674,164 with GCF Formula

Least Common Multiple of 674,164 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 674,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,164) = 2

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

GCF(674,164) x common factors =2 x 1 = 2

LCM(674,164) = ( 674 × 164 ) / 2

LCM(674,164) = 110536 / 2

LCM(674,164) = 55268


Lets's calculate GCF of 32,9062

2 32, 9062
16, 4531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55268/2

Therefore the LCM of Fractions 674/32,164/9062 is 27634

Greatest Common Factor of 32,9062 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,9062 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 9062

List of positive integer factors of 9062 that divides 9062 without a remainder.

1,2,23,46,197,394,4531,9062

Greatest Common Factor

We found the factors 32,9062 . The biggest common factor number is the GCF number.
So the greatest common factor 32,9062 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 674/32, 164/9062

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 674/32, 164/9062?

Answer: LCM of Numerators as per given numbers 674/32, 164/9062 is

LCM of Numerators i.e. for 674,164 is 55268

GCF of denominators i.e. for 32,9062 is 2.

Thus, LCM of Fractions is 27634.Finally, LCM of Fractions for 674/32, 164/9062 is 27634.