Least Common Multiple of 6600/902, 6292/3296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6600/902, 6292/3296 quickly i.e. 471900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6600/902, 6292/3296 is 471900.

LCM(6600/902, 6292/3296) = 471900

LCM of 6600/902, 6292/3296

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 6600/902,6292/3296

Given numbers are 6600/902,6292/3296

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 6600,6292

Least Common Multiple of Numerators i.e. LCM of 6600,6292 is 943800.

GCF of Denominators means GCF of 902,3296 as per the given fractions.

GCF of 902,3296 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6600,6292

LCM of Fractions 6600/902,6292/3296 is 471900

2 6600, 6292
2 3300, 3146
11 1650, 1573
150, 143

∴ So the LCM of the given numbers is 2 x 2 x 11 x 150 x 143 = 943800

Least Common Multiple of 6600,6292 with GCF Formula

Least Common Multiple of 6600,6292 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 6600,6292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6600,6292) = 44

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

GCF(6600,6292) x common factors =44 x 1 = 44

LCM(6600,6292) = ( 6600 × 6292 ) / 44

LCM(6600,6292) = 41527200 / 44

LCM(6600,6292) = 943800


Lets's calculate GCF of 902,3296

2 902, 3296
451, 1648

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 943800/2

Therefore the LCM of Fractions 6600/902,6292/3296 is 471900

Greatest Common Factor of 902,3296 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,3296 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 3296

List of positive integer factors of 3296 that divides 3296 without a remainder.

1,2,4,8,16,32,103,206,412,824,1648,3296

Greatest Common Factor

We found the factors 902,3296 . The biggest common factor number is the GCF number.
So the greatest common factor 902,3296 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6600/902, 6292/3296

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 6600/902, 6292/3296?

Answer: LCM of Numerators as per given numbers 6600/902, 6292/3296 is

LCM of Numerators i.e. for 6600,6292 is 943800

GCF of denominators i.e. for 902,3296 is 2.

Thus, LCM of Fractions is 471900.Finally, LCM of Fractions for 6600/902, 6292/3296 is 471900.