Least Common Multiple of 33/600, 728/252, 175/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 33/600, 728/252, 175/262 quickly i.e. 300300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/600, 728/252, 175/262 is 300300.

LCM(33/600, 728/252, 175/262) = 300300

LCM of 33/600, 728/252, 175/262

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 33/600,728/252,175/262

Given numbers are 33/600,728/252,175/262

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 33,728,175

Least Common Multiple of Numerators i.e. LCM of 33,728,175 is 600600.

GCF of Denominators means GCF of 600,252,262 as per the given fractions.

GCF of 600,252,262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,728,175

LCM of Fractions 33/600,728/252,175/262 is 300300

7 33, 728, 175
33, 104, 25

∴ So the LCM of the given numbers is 7 x 33 x 104 x 25 = 600600

Least Common Multiple of 33,728,175 with GCF Formula

Least Common Multiple of 33,728,175 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 33,728,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,728,175) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(33,728,175) x common factors =1 x 7 = 7

LCM(33,728,175) = ( 33 × 728 × 175 ) / 7

LCM(33,728,175) = 4204200 / 7

LCM(33,728,175) = 600600


Lets's calculate GCF of 600,252,262

2 600, 252, 262
300, 126, 131

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 600600/2

Therefore the LCM of Fractions 33/600,728/252,175/262 is 300300

Greatest Common Factor of 600,252,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,252,262 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 600,252,262 . The biggest common factor number is the GCF number.
So the greatest common factor 600,252,262 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 33/600, 728/252, 175/262

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 33/600, 728/252, 175/262?

Answer: LCM of Numerators as per given numbers 33/600, 728/252, 175/262 is

LCM of Numerators i.e. for 33,728,175 is 600600

GCF of denominators i.e. for 600,252,262 is 2.

Thus, LCM of Fractions is 300300.Finally, LCM of Fractions for 33/600, 728/252, 175/262 is 300300.