Least Common Multiple of 114/492, 8656/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/492, 8656/891 quickly i.e. 164464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/492, 8656/891 is 164464.

LCM(114/492, 8656/891) = 164464

LCM of 114/492, 8656/891

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 114/492,8656/891

Given numbers are 114/492,8656/891

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 114,8656

Least Common Multiple of Numerators i.e. LCM of 114,8656 is 493392.

GCF of Denominators means GCF of 492,891 as per the given fractions.

GCF of 492,891 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,8656

LCM of Fractions 114/492,8656/891 is 164464

2 114, 8656
57, 4328

∴ So the LCM of the given numbers is 2 x 57 x 4328 = 493392

Least Common Multiple of 114,8656 with GCF Formula

Least Common Multiple of 114,8656 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 114,8656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,8656) = 2

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

GCF(114,8656) x common factors =2 x 1 = 2

LCM(114,8656) = ( 114 × 8656 ) / 2

LCM(114,8656) = 986784 / 2

LCM(114,8656) = 493392


Lets's calculate GCF of 492,891

3 492, 891
164, 297

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 493392/3

Therefore the LCM of Fractions 114/492,8656/891 is 164464

Greatest Common Factor of 492,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,891 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 492,891 . The biggest common factor number is the GCF number.
So the greatest common factor 492,891 is 3.


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 114/492, 8656/891

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 114/492, 8656/891?

Answer: LCM of Numerators as per given numbers 114/492, 8656/891 is

LCM of Numerators i.e. for 114,8656 is 493392

GCF of denominators i.e. for 492,891 is 3.

Thus, LCM of Fractions is 164464.Finally, LCM of Fractions for 114/492, 8656/891 is 164464.