Least Common Multiple of 182/54, 971/8226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 182/54, 971/8226 quickly i.e. 176722/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 182/54, 971/8226 is 176722/18.

LCM(182/54, 971/8226) = 176722/18

LCM of 182/54, 971/8226

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 182/54,971/8226

Given numbers are 182/54,971/8226

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 182,971

Least Common Multiple of Numerators i.e. LCM of 182,971 is 176722.

GCF of Denominators means GCF of 54,8226 as per the given fractions.

GCF of 54,8226 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 182,971

LCM of Fractions 182/54,971/8226 is 176722/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 176722

Least Common Multiple of 182,971 with GCF Formula

Least Common Multiple of 182,971 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 182,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,971) = 1

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

GCF(182,971) x common factors =1 x 1 = 1

LCM(182,971) = ( 182 × 971 ) / 1

LCM(182,971) = 176722 / 1

LCM(182,971) = 176722


Lets's calculate GCF of 54,8226

2 54, 8226
3 27, 4113
3 9, 1371
3, 457

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176722/18

Therefore the LCM of Fractions 182/54,971/8226 is 176722/18

Greatest Common Factor of 54,8226 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,8226 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 8226

List of positive integer factors of 8226 that divides 8226 without a remainder.

1,2,3,6,9,18,457,914,1371,2742,4113,8226

Greatest Common Factor

We found the factors 54,8226 . The biggest common factor number is the GCF number.
So the greatest common factor 54,8226 is 18.


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 182/54, 971/8226

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 182/54, 971/8226?

Answer: LCM of Numerators as per given numbers 182/54, 971/8226 is

LCM of Numerators i.e. for 182,971 is 176722

GCF of denominators i.e. for 54,8226 is 18.

Thus, LCM of Fractions is 176722/18.Finally, LCM of Fractions for 182/54, 971/8226 is 176722/18.