Least Common Multiple of 988/188, 408/490, 978/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 988/188, 408/490, 978/874 quickly i.e. 8213244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/188, 408/490, 978/874 is 8213244.

LCM(988/188, 408/490, 978/874) = 8213244

LCM of 988/188, 408/490, 978/874

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 988/188,408/490,978/874

Given numbers are 988/188,408/490,978/874

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 988,408,978

Least Common Multiple of Numerators i.e. LCM of 988,408,978 is 16426488.

GCF of Denominators means GCF of 188,490,874 as per the given fractions.

GCF of 188,490,874 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,408,978

LCM of Fractions 988/188,408/490,978/874 is 8213244

2 988, 408, 978
2 494, 204, 489
3 247, 102, 489
247, 34, 163

∴ So the LCM of the given numbers is 2 x 2 x 3 x 247 x 34 x 163 = 16426488

Least Common Multiple of 988,408,978 with GCF Formula

Least Common Multiple of 988,408,978 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 988,408,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,408,978) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(988,408,978) x common factors =2 x 12 = 24

LCM(988,408,978) = ( 988 × 408 × 978 ) / 24

LCM(988,408,978) = 394235712 / 24

LCM(988,408,978) = 16426488


Lets's calculate GCF of 188,490,874

2 188, 490, 874
94, 245, 437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16426488/2

Therefore the LCM of Fractions 988/188,408/490,978/874 is 8213244

Greatest Common Factor of 188,490,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,490,874 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 188,490,874 . The biggest common factor number is the GCF number.
So the greatest common factor 188,490,874 is 2.


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 988/188, 408/490, 978/874

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 988/188, 408/490, 978/874?

Answer: LCM of Numerators as per given numbers 988/188, 408/490, 978/874 is

LCM of Numerators i.e. for 988,408,978 is 16426488

GCF of denominators i.e. for 188,490,874 is 2.

Thus, LCM of Fractions is 8213244.Finally, LCM of Fractions for 988/188, 408/490, 978/874 is 8213244.