Least Common Multiple of 878/83, 3198/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 878/83, 3198/234 quickly i.e. 1403922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 878/83, 3198/234 is 1403922.

LCM(878/83, 3198/234) = 1403922

LCM of 878/83, 3198/234

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 878/83,3198/234

Given numbers are 878/83,3198/234

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 878,3198

Least Common Multiple of Numerators i.e. LCM of 878,3198 is 1403922.

GCF of Denominators means GCF of 83,234 as per the given fractions.

GCF of 83,234 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 878,3198

LCM of Fractions 878/83,3198/234 is 1403922

2 878, 3198
439, 1599

∴ So the LCM of the given numbers is 2 x 439 x 1599 = 1403922

Least Common Multiple of 878,3198 with GCF Formula

Least Common Multiple of 878,3198 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 878,3198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,3198) = 2

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

GCF(878,3198) x common factors =2 x 1 = 2

LCM(878,3198) = ( 878 × 3198 ) / 2

LCM(878,3198) = 2807844 / 2

LCM(878,3198) = 1403922


Lets's calculate GCF of 83,234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1403922/1

Therefore the LCM of Fractions 878/83,3198/234 is 1403922

Greatest Common Factor of 83,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,234 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 83,234 . The biggest common factor number is the GCF number.
So the greatest common factor 83,234 is 1.


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 878/83, 3198/234

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 878/83, 3198/234?

Answer: LCM of Numerators as per given numbers 878/83, 3198/234 is

LCM of Numerators i.e. for 878,3198 is 1403922

GCF of denominators i.e. for 83,234 is 1.

Thus, LCM of Fractions is 1403922.Finally, LCM of Fractions for 878/83, 3198/234 is 1403922.