Least Common Multiple of 264/17, 314/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/17, 314/468 quickly i.e. 41448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/17, 314/468 is 41448.

LCM(264/17, 314/468) = 41448

LCM of 264/17, 314/468

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 264/17,314/468

Given numbers are 264/17,314/468

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 264,314

Least Common Multiple of Numerators i.e. LCM of 264,314 is 41448.

GCF of Denominators means GCF of 17,468 as per the given fractions.

GCF of 17,468 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,314

LCM of Fractions 264/17,314/468 is 41448

2 264, 314
132, 157

∴ So the LCM of the given numbers is 2 x 132 x 157 = 41448

Least Common Multiple of 264,314 with GCF Formula

Least Common Multiple of 264,314 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 264,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,314) = 2

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

GCF(264,314) x common factors =2 x 1 = 2

LCM(264,314) = ( 264 × 314 ) / 2

LCM(264,314) = 82896 / 2

LCM(264,314) = 41448


Lets's calculate GCF of 17,468

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41448/1

Therefore the LCM of Fractions 264/17,314/468 is 41448

Greatest Common Factor of 17,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,468 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 17,468 . The biggest common factor number is the GCF number.
So the greatest common factor 17,468 is 1.


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 264/17, 314/468

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 264/17, 314/468?

Answer: LCM of Numerators as per given numbers 264/17, 314/468 is

LCM of Numerators i.e. for 264,314 is 41448

GCF of denominators i.e. for 17,468 is 1.

Thus, LCM of Fractions is 41448.Finally, LCM of Fractions for 264/17, 314/468 is 41448.