Least Common Multiple of 988/450, 593/989, 188/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 988/450, 593/989, 188/318 quickly i.e. 27536548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/450, 593/989, 188/318 is 27536548.

LCM(988/450, 593/989, 188/318) = 27536548

LCM of 988/450, 593/989, 188/318

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 988/450,593/989,188/318

Given numbers are 988/450,593/989,188/318

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 988,593,188

Least Common Multiple of Numerators i.e. LCM of 988,593,188 is 27536548.

GCF of Denominators means GCF of 450,989,318 as per the given fractions.

GCF of 450,989,318 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,593,188

LCM of Fractions 988/450,593/989,188/318 is 27536548

2 988, 593, 188
2 494, 593, 94
247, 593, 47

∴ So the LCM of the given numbers is 2 x 2 x 247 x 593 x 47 = 27536548

Least Common Multiple of 988,593,188 with GCF Formula

Least Common Multiple of 988,593,188 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 988,593,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,593,188) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(988,593,188) x common factors =1 x 4 = 4

LCM(988,593,188) = ( 988 × 593 × 188 ) / 4

LCM(988,593,188) = 110146192 / 4

LCM(988,593,188) = 27536548


Lets's calculate GCF of 450,989,318

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27536548/1

Therefore the LCM of Fractions 988/450,593/989,188/318 is 27536548

Greatest Common Factor of 450,989,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,989,318 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 450,989,318 . The biggest common factor number is the GCF number.
So the greatest common factor 450,989,318 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 988/450, 593/989, 188/318

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 988/450, 593/989, 188/318?

Answer: LCM of Numerators as per given numbers 988/450, 593/989, 188/318 is

LCM of Numerators i.e. for 988,593,188 is 27536548

GCF of denominators i.e. for 450,989,318 is 1.

Thus, LCM of Fractions is 27536548.Finally, LCM of Fractions for 988/450, 593/989, 188/318 is 27536548.