Least Common Multiple of 264/284, 3174/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/284, 3174/324 quickly i.e. 34914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/284, 3174/324 is 34914.

LCM(264/284, 3174/324) = 34914

LCM of 264/284, 3174/324

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 264/284,3174/324

Given numbers are 264/284,3174/324

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 264,3174

Least Common Multiple of Numerators i.e. LCM of 264,3174 is 139656.

GCF of Denominators means GCF of 284,324 as per the given fractions.

GCF of 284,324 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,3174

LCM of Fractions 264/284,3174/324 is 34914

2 264, 3174
3 132, 1587
44, 529

∴ So the LCM of the given numbers is 2 x 3 x 44 x 529 = 139656

Least Common Multiple of 264,3174 with GCF Formula

Least Common Multiple of 264,3174 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 264,3174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,3174) = 6

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

GCF(264,3174) x common factors =6 x 1 = 6

LCM(264,3174) = ( 264 × 3174 ) / 6

LCM(264,3174) = 837936 / 6

LCM(264,3174) = 139656


Lets's calculate GCF of 284,324

2 284, 324
2 142, 162
71, 81

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139656/4

Therefore the LCM of Fractions 264/284,3174/324 is 34914

Greatest Common Factor of 284,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,324 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 284,324 . The biggest common factor number is the GCF number.
So the greatest common factor 284,324 is 4.


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 264/284, 3174/324

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 264/284, 3174/324?

Answer: LCM of Numerators as per given numbers 264/284, 3174/324 is

LCM of Numerators i.e. for 264,3174 is 139656

GCF of denominators i.e. for 284,324 is 4.

Thus, LCM of Fractions is 34914.Finally, LCM of Fractions for 264/284, 3174/324 is 34914.