Least Common Multiple of 681/292, 878/838, 166/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 681/292, 878/838, 166/489 quickly i.e. 49627194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 681/292, 878/838, 166/489 is 49627194.

LCM(681/292, 878/838, 166/489) = 49627194

LCM of 681/292, 878/838, 166/489

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 681/292,878/838,166/489

Given numbers are 681/292,878/838,166/489

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 681,878,166

Least Common Multiple of Numerators i.e. LCM of 681,878,166 is 49627194.

GCF of Denominators means GCF of 292,838,489 as per the given fractions.

GCF of 292,838,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 681,878,166

LCM of Fractions 681/292,878/838,166/489 is 49627194

2 681, 878, 166
681, 439, 83

∴ So the LCM of the given numbers is 2 x 681 x 439 x 83 = 49627194

Least Common Multiple of 681,878,166 with GCF Formula

Least Common Multiple of 681,878,166 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 681,878,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,878,166) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(681,878,166) x common factors =1 x 2 = 2

LCM(681,878,166) = ( 681 × 878 × 166 ) / 2

LCM(681,878,166) = 99254388 / 2

LCM(681,878,166) = 49627194


Lets's calculate GCF of 292,838,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49627194/1

Therefore the LCM of Fractions 681/292,878/838,166/489 is 49627194

Greatest Common Factor of 292,838,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,838,489 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 292,838,489 . The biggest common factor number is the GCF number.
So the greatest common factor 292,838,489 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 681/292, 878/838, 166/489

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 681/292, 878/838, 166/489?

Answer: LCM of Numerators as per given numbers 681/292, 878/838, 166/489 is

LCM of Numerators i.e. for 681,878,166 is 49627194

GCF of denominators i.e. for 292,838,489 is 1.

Thus, LCM of Fractions is 49627194.Finally, LCM of Fractions for 681/292, 878/838, 166/489 is 49627194.