Least Common Multiple of 19/87, 42/34, 86/61, 94/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/87, 42/34, 86/61, 94/781 quickly i.e. 1612758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/87, 42/34, 86/61, 94/781 is 1612758.

LCM(19/87, 42/34, 86/61, 94/781) = 1612758

LCM of 19/87, 42/34, 86/61, 94/781

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 19/87,42/34,86/61,94/781

Given numbers are 19/87,42/34,86/61,94/781

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 19,42,86,94

Least Common Multiple of Numerators i.e. LCM of 19,42,86,94 is 1612758.

GCF of Denominators means GCF of 87,34,61,781 as per the given fractions.

GCF of 87,34,61,781 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,42,86,94

LCM of Fractions 19/87,42/34,86/61,94/781 is 1612758

2 19, 42, 86, 94
19, 21, 43, 47

∴ So the LCM of the given numbers is 2 x 19 x 21 x 43 x 47 = 1612758

Least Common Multiple of 19,42,86,94 with GCF Formula

Least Common Multiple of 19,42,86,94 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 19,42,86,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,42,86,94) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(19,42,86,94) x common factors =1 x 4 = 4

LCM(19,42,86,94) = ( 19 × 42 × 86 × 94 ) / 4

LCM(19,42,86,94) = 6451032 / 4

LCM(19,42,86,94) = 1612758


Lets's calculate GCF of 87,34,61,781

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1612758/1

Therefore the LCM of Fractions 19/87,42/34,86/61,94/781 is 1612758

Greatest Common Factor of 87,34,61,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,34,61,781 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 34

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

1,2,17,34

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 87,34,61,781 . The biggest common factor number is the GCF number.
So the greatest common factor 87,34,61,781 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 19/87, 42/34, 86/61, 94/781

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 19/87, 42/34, 86/61, 94/781?

Answer: LCM of Numerators as per given numbers 19/87, 42/34, 86/61, 94/781 is

LCM of Numerators i.e. for 19,42,86,94 is 1612758

GCF of denominators i.e. for 87,34,61,781 is 1.

Thus, LCM of Fractions is 1612758.Finally, LCM of Fractions for 19/87, 42/34, 86/61, 94/781 is 1612758.