Least Common Multiple of 210/576, 1624/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/576, 1624/264 quickly i.e. 1015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/576, 1624/264 is 1015.

LCM(210/576, 1624/264) = 1015

LCM of 210/576, 1624/264

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 210/576,1624/264

Given numbers are 210/576,1624/264

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 210,1624

Least Common Multiple of Numerators i.e. LCM of 210,1624 is 24360.

GCF of Denominators means GCF of 576,264 as per the given fractions.

GCF of 576,264 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,1624

LCM of Fractions 210/576,1624/264 is 1015

2 210, 1624
7 105, 812
15, 116

∴ So the LCM of the given numbers is 2 x 7 x 15 x 116 = 24360

Least Common Multiple of 210,1624 with GCF Formula

Least Common Multiple of 210,1624 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 210,1624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,1624) = 14

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

GCF(210,1624) x common factors =14 x 1 = 14

LCM(210,1624) = ( 210 × 1624 ) / 14

LCM(210,1624) = 341040 / 14

LCM(210,1624) = 24360


Lets's calculate GCF of 576,264

2 576, 264
2 288, 132
2 144, 66
3 72, 33
24, 11

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24360/24

Therefore the LCM of Fractions 210/576,1624/264 is 1015

Greatest Common Factor of 576,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,264 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 576,264 . The biggest common factor number is the GCF number.
So the greatest common factor 576,264 is 24.


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 210/576, 1624/264

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 210/576, 1624/264?

Answer: LCM of Numerators as per given numbers 210/576, 1624/264 is

LCM of Numerators i.e. for 210,1624 is 24360

GCF of denominators i.e. for 576,264 is 24.

Thus, LCM of Fractions is 1015.Finally, LCM of Fractions for 210/576, 1624/264 is 1015.