Least Common Multiple of 854/978, 918/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 854/978, 918/163 quickly i.e. 391986/163 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/978, 918/163 is 391986/163.

LCM(854/978, 918/163) = 391986/163

LCM of 854/978, 918/163

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 854/978,918/163

Given numbers are 854/978,918/163

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 854,918

Least Common Multiple of Numerators i.e. LCM of 854,918 is 391986.

GCF of Denominators means GCF of 978,163 as per the given fractions.

GCF of 978,163 is 163 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,918

LCM of Fractions 854/978,918/163 is 391986/163

2 854, 918
427, 459

∴ So the LCM of the given numbers is 2 x 427 x 459 = 391986

Least Common Multiple of 854,918 with GCF Formula

Least Common Multiple of 854,918 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 854,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,918) = 2

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

GCF(854,918) x common factors =2 x 1 = 2

LCM(854,918) = ( 854 × 918 ) / 2

LCM(854,918) = 783972 / 2

LCM(854,918) = 391986


Lets's calculate GCF of 978,163

163 978, 163
6, 1

∴ So the GCF of the given numbers is 163 = 163

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 391986/163

Therefore the LCM of Fractions 854/978,918/163 is 391986/163

Greatest Common Factor of 978,163 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,163 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Greatest Common Factor

We found the factors 978,163 . The biggest common factor number is the GCF number.
So the greatest common factor 978,163 is 163.


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 854/978, 918/163

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 854/978, 918/163?

Answer: LCM of Numerators as per given numbers 854/978, 918/163 is

LCM of Numerators i.e. for 854,918 is 391986

GCF of denominators i.e. for 978,163 is 163.

Thus, LCM of Fractions is 391986/163.Finally, LCM of Fractions for 854/978, 918/163 is 391986/163.