Least Common Multiple of 210/33, 472/79, 514/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/33, 472/79, 514/275 quickly i.e. 12736920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/33, 472/79, 514/275 is 12736920.

LCM(210/33, 472/79, 514/275) = 12736920

LCM of 210/33, 472/79, 514/275

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 210/33,472/79,514/275

Given numbers are 210/33,472/79,514/275

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 210,472,514

Least Common Multiple of Numerators i.e. LCM of 210,472,514 is 12736920.

GCF of Denominators means GCF of 33,79,275 as per the given fractions.

GCF of 33,79,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,472,514

LCM of Fractions 210/33,472/79,514/275 is 12736920

2 210, 472, 514
105, 236, 257

∴ So the LCM of the given numbers is 2 x 105 x 236 x 257 = 12736920

Least Common Multiple of 210,472,514 with GCF Formula

Least Common Multiple of 210,472,514 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 210,472,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,472,514) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(210,472,514) x common factors =2 x 2 = 4

LCM(210,472,514) = ( 210 × 472 × 514 ) / 4

LCM(210,472,514) = 50947680 / 4

LCM(210,472,514) = 12736920


Lets's calculate GCF of 33,79,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12736920/1

Therefore the LCM of Fractions 210/33,472/79,514/275 is 12736920

Greatest Common Factor of 33,79,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,79,275 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 33,79,275 . The biggest common factor number is the GCF number.
So the greatest common factor 33,79,275 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 210/33, 472/79, 514/275

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 210/33, 472/79, 514/275?

Answer: LCM of Numerators as per given numbers 210/33, 472/79, 514/275 is

LCM of Numerators i.e. for 210,472,514 is 12736920

GCF of denominators i.e. for 33,79,275 is 1.

Thus, LCM of Fractions is 12736920.Finally, LCM of Fractions for 210/33, 472/79, 514/275 is 12736920.