Least Common Multiple of 64/50, 61/80, 82/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 64/50, 61/80, 82/658 quickly i.e. 80032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/50, 61/80, 82/658 is 80032.

LCM(64/50, 61/80, 82/658) = 80032

LCM of 64/50, 61/80, 82/658

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 64/50,61/80,82/658

Given numbers are 64/50,61/80,82/658

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 64,61,82

Least Common Multiple of Numerators i.e. LCM of 64,61,82 is 160064.

GCF of Denominators means GCF of 50,80,658 as per the given fractions.

GCF of 50,80,658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,61,82

LCM of Fractions 64/50,61/80,82/658 is 80032

2 64, 61, 82
32, 61, 41

∴ So the LCM of the given numbers is 2 x 32 x 61 x 41 = 160064

Least Common Multiple of 64,61,82 with GCF Formula

Least Common Multiple of 64,61,82 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 64,61,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,61,82) = 1

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

GCF(64,61,82) x common factors =1 x 2 = 2

LCM(64,61,82) = ( 64 × 61 × 82 ) / 2

LCM(64,61,82) = 320128 / 2

LCM(64,61,82) = 160064


Lets's calculate GCF of 50,80,658

2 50, 80, 658
25, 40, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160064/2

Therefore the LCM of Fractions 64/50,61/80,82/658 is 80032

Greatest Common Factor of 50,80,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,80,658 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 50,80,658 . The biggest common factor number is the GCF number.
So the greatest common factor 50,80,658 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 64/50, 61/80, 82/658

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 64/50, 61/80, 82/658?

Answer: LCM of Numerators as per given numbers 64/50, 61/80, 82/658 is

LCM of Numerators i.e. for 64,61,82 is 160064

GCF of denominators i.e. for 50,80,658 is 2.

Thus, LCM of Fractions is 80032.Finally, LCM of Fractions for 64/50, 61/80, 82/658 is 80032.