Least Common Multiple of 94/684, 3454/8318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/684, 3454/8318 quickly i.e. 81169 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/684, 3454/8318 is 81169.

LCM(94/684, 3454/8318) = 81169

LCM of 94/684, 3454/8318

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 94/684,3454/8318

Given numbers are 94/684,3454/8318

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 94,3454

Least Common Multiple of Numerators i.e. LCM of 94,3454 is 162338.

GCF of Denominators means GCF of 684,8318 as per the given fractions.

GCF of 684,8318 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,3454

LCM of Fractions 94/684,3454/8318 is 81169

2 94, 3454
47, 1727

∴ So the LCM of the given numbers is 2 x 47 x 1727 = 162338

Least Common Multiple of 94,3454 with GCF Formula

Least Common Multiple of 94,3454 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 94,3454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,3454) = 2

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

GCF(94,3454) x common factors =2 x 1 = 2

LCM(94,3454) = ( 94 × 3454 ) / 2

LCM(94,3454) = 324676 / 2

LCM(94,3454) = 162338


Lets's calculate GCF of 684,8318

2 684, 8318
342, 4159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162338/2

Therefore the LCM of Fractions 94/684,3454/8318 is 81169

Greatest Common Factor of 684,8318 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,8318 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

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 684,8318 . The biggest common factor number is the GCF number.
So the greatest common factor 684,8318 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 94/684, 3454/8318

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 94/684, 3454/8318?

Answer: LCM of Numerators as per given numbers 94/684, 3454/8318 is

LCM of Numerators i.e. for 94,3454 is 162338

GCF of denominators i.e. for 684,8318 is 2.

Thus, LCM of Fractions is 81169.Finally, LCM of Fractions for 94/684, 3454/8318 is 81169.