Least Common Multiple of 5488/450, 4800/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5488/450, 4800/298 quickly i.e. 823200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5488/450, 4800/298 is 823200.

LCM(5488/450, 4800/298) = 823200

LCM of 5488/450, 4800/298

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 5488/450,4800/298

Given numbers are 5488/450,4800/298

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 5488,4800

Least Common Multiple of Numerators i.e. LCM of 5488,4800 is 1646400.

GCF of Denominators means GCF of 450,298 as per the given fractions.

GCF of 450,298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5488,4800

LCM of Fractions 5488/450,4800/298 is 823200

2 5488, 4800
2 2744, 2400
2 1372, 1200
2 686, 600
343, 300

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 343 x 300 = 1646400

Least Common Multiple of 5488,4800 with GCF Formula

Least Common Multiple of 5488,4800 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 5488,4800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5488,4800) = 16

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

GCF(5488,4800) x common factors =16 x 1 = 16

LCM(5488,4800) = ( 5488 × 4800 ) / 16

LCM(5488,4800) = 26342400 / 16

LCM(5488,4800) = 1646400


Lets's calculate GCF of 450,298

2 450, 298
225, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1646400/2

Therefore the LCM of Fractions 5488/450,4800/298 is 823200

Greatest Common Factor of 450,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,298 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 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 450,298 . The biggest common factor number is the GCF number.
So the greatest common factor 450,298 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 5488/450, 4800/298

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 5488/450, 4800/298?

Answer: LCM of Numerators as per given numbers 5488/450, 4800/298 is

LCM of Numerators i.e. for 5488,4800 is 1646400

GCF of denominators i.e. for 450,298 is 2.

Thus, LCM of Fractions is 823200.Finally, LCM of Fractions for 5488/450, 4800/298 is 823200.