Least Common Multiple of 19/70, 82/34, 80/17, 61/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/70, 82/34, 80/17, 61/512 quickly i.e. 3801520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/70, 82/34, 80/17, 61/512 is 3801520.

LCM(19/70, 82/34, 80/17, 61/512) = 3801520

LCM of 19/70, 82/34, 80/17, 61/512

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 19/70,82/34,80/17,61/512

Given numbers are 19/70,82/34,80/17,61/512

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 19,82,80,61

Least Common Multiple of Numerators i.e. LCM of 19,82,80,61 is 3801520.

GCF of Denominators means GCF of 70,34,17,512 as per the given fractions.

GCF of 70,34,17,512 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,82,80,61

LCM of Fractions 19/70,82/34,80/17,61/512 is 3801520

2 19, 82, 80, 61
19, 41, 40, 61

∴ So the LCM of the given numbers is 2 x 19 x 41 x 40 x 61 = 3801520

Least Common Multiple of 19,82,80,61 with GCF Formula

Least Common Multiple of 19,82,80,61 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 19,82,80,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,82,80,61) = 1

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

GCF(19,82,80,61) x common factors =1 x 2 = 2

LCM(19,82,80,61) = ( 19 × 82 × 80 × 61 ) / 2

LCM(19,82,80,61) = 7603040 / 2

LCM(19,82,80,61) = 3801520


Lets's calculate GCF of 70,34,17,512

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3801520/1

Therefore the LCM of Fractions 19/70,82/34,80/17,61/512 is 3801520

Greatest Common Factor of 70,34,17,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,34,17,512 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 70,34,17,512 . The biggest common factor number is the GCF number.
So the greatest common factor 70,34,17,512 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 19/70, 82/34, 80/17, 61/512

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 19/70, 82/34, 80/17, 61/512?

Answer: LCM of Numerators as per given numbers 19/70, 82/34, 80/17, 61/512 is

LCM of Numerators i.e. for 19,82,80,61 is 3801520

GCF of denominators i.e. for 70,34,17,512 is 1.

Thus, LCM of Fractions is 3801520.Finally, LCM of Fractions for 19/70, 82/34, 80/17, 61/512 is 3801520.