Least Common Multiple of 264/68, 514/2953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/68, 514/2953 quickly i.e. 67848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/68, 514/2953 is 67848.

LCM(264/68, 514/2953) = 67848

LCM of 264/68, 514/2953

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 264/68,514/2953

Given numbers are 264/68,514/2953

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 264,514

Least Common Multiple of Numerators i.e. LCM of 264,514 is 67848.

GCF of Denominators means GCF of 68,2953 as per the given fractions.

GCF of 68,2953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,514

LCM of Fractions 264/68,514/2953 is 67848

2 264, 514
132, 257

∴ So the LCM of the given numbers is 2 x 132 x 257 = 67848

Least Common Multiple of 264,514 with GCF Formula

Least Common Multiple of 264,514 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 264,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,514) = 2

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

GCF(264,514) x common factors =2 x 1 = 2

LCM(264,514) = ( 264 × 514 ) / 2

LCM(264,514) = 135696 / 2

LCM(264,514) = 67848


Lets's calculate GCF of 68,2953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67848/1

Therefore the LCM of Fractions 264/68,514/2953 is 67848

Greatest Common Factor of 68,2953 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,2953 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 2953

List of positive integer factors of 2953 that divides 2953 without a remainder.

1,2953

Greatest Common Factor

We found the factors 68,2953 . The biggest common factor number is the GCF number.
So the greatest common factor 68,2953 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 264/68, 514/2953

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 264/68, 514/2953?

Answer: LCM of Numerators as per given numbers 264/68, 514/2953 is

LCM of Numerators i.e. for 264,514 is 67848

GCF of denominators i.e. for 68,2953 is 1.

Thus, LCM of Fractions is 67848.Finally, LCM of Fractions for 264/68, 514/2953 is 67848.