Least Common Multiple of 264/553, 292/349, 111/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/553, 292/349, 111/288 quickly i.e. 713064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/553, 292/349, 111/288 is 713064.

LCM(264/553, 292/349, 111/288) = 713064

LCM of 264/553, 292/349, 111/288

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 264/553,292/349,111/288

Given numbers are 264/553,292/349,111/288

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 264,292,111

Least Common Multiple of Numerators i.e. LCM of 264,292,111 is 713064.

GCF of Denominators means GCF of 553,349,288 as per the given fractions.

GCF of 553,349,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,292,111

LCM of Fractions 264/553,292/349,111/288 is 713064

2 264, 292, 111
2 132, 146, 111
3 66, 73, 111
22, 73, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 22 x 73 x 37 = 713064

Least Common Multiple of 264,292,111 with GCF Formula

Least Common Multiple of 264,292,111 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 264,292,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,292,111) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(264,292,111) x common factors =1 x 12 = 12

LCM(264,292,111) = ( 264 × 292 × 111 ) / 12

LCM(264,292,111) = 8556768 / 12

LCM(264,292,111) = 713064


Lets's calculate GCF of 553,349,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 713064/1

Therefore the LCM of Fractions 264/553,292/349,111/288 is 713064

Greatest Common Factor of 553,349,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,349,288 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 553,349,288 . The biggest common factor number is the GCF number.
So the greatest common factor 553,349,288 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 264/553, 292/349, 111/288

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 264/553, 292/349, 111/288?

Answer: LCM of Numerators as per given numbers 264/553, 292/349, 111/288 is

LCM of Numerators i.e. for 264,292,111 is 713064

GCF of denominators i.e. for 553,349,288 is 1.

Thus, LCM of Fractions is 713064.Finally, LCM of Fractions for 264/553, 292/349, 111/288 is 713064.