Least Common Multiple of 54/996, 8462/8318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/996, 8462/8318 quickly i.e. 114237 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/996, 8462/8318 is 114237.

LCM(54/996, 8462/8318) = 114237

LCM of 54/996, 8462/8318

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 54/996,8462/8318

Given numbers are 54/996,8462/8318

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 54,8462

Least Common Multiple of Numerators i.e. LCM of 54,8462 is 228474.

GCF of Denominators means GCF of 996,8318 as per the given fractions.

GCF of 996,8318 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,8462

LCM of Fractions 54/996,8462/8318 is 114237

2 54, 8462
27, 4231

∴ So the LCM of the given numbers is 2 x 27 x 4231 = 228474

Least Common Multiple of 54,8462 with GCF Formula

Least Common Multiple of 54,8462 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 54,8462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,8462) = 2

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

GCF(54,8462) x common factors =2 x 1 = 2

LCM(54,8462) = ( 54 × 8462 ) / 2

LCM(54,8462) = 456948 / 2

LCM(54,8462) = 228474


Lets's calculate GCF of 996,8318

2 996, 8318
498, 4159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228474/2

Therefore the LCM of Fractions 54/996,8462/8318 is 114237

Greatest Common Factor of 996,8318 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,8318 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 8318

List of positive integer factors of 8318 that divides 8318 without a remainder.

1,2,4159,8318

Greatest Common Factor

We found the factors 996,8318 . The biggest common factor number is the GCF number.
So the greatest common factor 996,8318 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 54/996, 8462/8318

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 54/996, 8462/8318?

Answer: LCM of Numerators as per given numbers 54/996, 8462/8318 is

LCM of Numerators i.e. for 54,8462 is 228474

GCF of denominators i.e. for 996,8318 is 2.

Thus, LCM of Fractions is 114237.Finally, LCM of Fractions for 54/996, 8462/8318 is 114237.