Least Common Multiple of 818/171, 9978/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 818/171, 9978/760 quickly i.e. 4081002/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 818/171, 9978/760 is 4081002/19.

LCM(818/171, 9978/760) = 4081002/19

LCM of 818/171, 9978/760

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 818/171,9978/760

Given numbers are 818/171,9978/760

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 818,9978

Least Common Multiple of Numerators i.e. LCM of 818,9978 is 4081002.

GCF of Denominators means GCF of 171,760 as per the given fractions.

GCF of 171,760 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 818,9978

LCM of Fractions 818/171,9978/760 is 4081002/19

2 818, 9978
409, 4989

∴ So the LCM of the given numbers is 2 x 409 x 4989 = 4081002

Least Common Multiple of 818,9978 with GCF Formula

Least Common Multiple of 818,9978 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 818,9978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,9978) = 2

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

GCF(818,9978) x common factors =2 x 1 = 2

LCM(818,9978) = ( 818 × 9978 ) / 2

LCM(818,9978) = 8162004 / 2

LCM(818,9978) = 4081002


Lets's calculate GCF of 171,760

19 171, 760
9, 40

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4081002/19

Therefore the LCM of Fractions 818/171,9978/760 is 4081002/19

Greatest Common Factor of 171,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,760 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 171,760 . The biggest common factor number is the GCF number.
So the greatest common factor 171,760 is 19.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 818/171, 9978/760

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 818/171, 9978/760?

Answer: LCM of Numerators as per given numbers 818/171, 9978/760 is

LCM of Numerators i.e. for 818,9978 is 4081002

GCF of denominators i.e. for 171,760 is 19.

Thus, LCM of Fractions is 4081002/19.Finally, LCM of Fractions for 818/171, 9978/760 is 4081002/19.