Least Common Multiple of 289/902, 791/608, 161/436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 289/902, 791/608, 161/436 quickly i.e. 5257777/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/902, 791/608, 161/436 is 5257777/2.

LCM(289/902, 791/608, 161/436) = 5257777/2

LCM of 289/902, 791/608, 161/436

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 289/902,791/608,161/436

Given numbers are 289/902,791/608,161/436

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 289,791,161

Least Common Multiple of Numerators i.e. LCM of 289,791,161 is 5257777.

GCF of Denominators means GCF of 902,608,436 as per the given fractions.

GCF of 902,608,436 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,791,161

LCM of Fractions 289/902,791/608,161/436 is 5257777/2

7 289, 791, 161
289, 113, 23

∴ So the LCM of the given numbers is 7 x 289 x 113 x 23 = 5257777

Least Common Multiple of 289,791,161 with GCF Formula

Least Common Multiple of 289,791,161 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 289,791,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,791,161) = 1

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

GCF(289,791,161) x common factors =1 x 7 = 7

LCM(289,791,161) = ( 289 × 791 × 161 ) / 7

LCM(289,791,161) = 36804439 / 7

LCM(289,791,161) = 5257777


Lets's calculate GCF of 902,608,436

2 902, 608, 436
451, 304, 218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5257777/2

Therefore the LCM of Fractions 289/902,791/608,161/436 is 5257777/2

Greatest Common Factor of 902,608,436 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,608,436 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 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Greatest Common Factor

We found the factors 902,608,436 . The biggest common factor number is the GCF number.
So the greatest common factor 902,608,436 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 289/902, 791/608, 161/436

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 289/902, 791/608, 161/436?

Answer: LCM of Numerators as per given numbers 289/902, 791/608, 161/436 is

LCM of Numerators i.e. for 289,791,161 is 5257777

GCF of denominators i.e. for 902,608,436 is 2.

Thus, LCM of Fractions is 5257777/2.Finally, LCM of Fractions for 289/902, 791/608, 161/436 is 5257777/2.