Least Common Multiple of 142/886, 2018/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 142/886, 2018/878 quickly i.e. 71639 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/886, 2018/878 is 71639.

LCM(142/886, 2018/878) = 71639

LCM of 142/886, 2018/878

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 142/886,2018/878

Given numbers are 142/886,2018/878

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 142,2018

Least Common Multiple of Numerators i.e. LCM of 142,2018 is 143278.

GCF of Denominators means GCF of 886,878 as per the given fractions.

GCF of 886,878 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,2018

LCM of Fractions 142/886,2018/878 is 71639

2 142, 2018
71, 1009

∴ So the LCM of the given numbers is 2 x 71 x 1009 = 143278

Least Common Multiple of 142,2018 with GCF Formula

Least Common Multiple of 142,2018 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 142,2018 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,2018) = 2

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

GCF(142,2018) x common factors =2 x 1 = 2

LCM(142,2018) = ( 142 × 2018 ) / 2

LCM(142,2018) = 286556 / 2

LCM(142,2018) = 143278


Lets's calculate GCF of 886,878

2 886, 878
443, 439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143278/2

Therefore the LCM of Fractions 142/886,2018/878 is 71639

Greatest Common Factor of 886,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 886,878 By Matching Biggest Common Factor Method

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 886,878 . The biggest common factor number is the GCF number.
So the greatest common factor 886,878 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 142/886, 2018/878

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 142/886, 2018/878?

Answer: LCM of Numerators as per given numbers 142/886, 2018/878 is

LCM of Numerators i.e. for 142,2018 is 143278

GCF of denominators i.e. for 886,878 is 2.

Thus, LCM of Fractions is 71639.Finally, LCM of Fractions for 142/886, 2018/878 is 71639.