Least Common Multiple of 4612/298, 8288/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4612/298, 8288/222 quickly i.e. 4778032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4612/298, 8288/222 is 4778032.

LCM(4612/298, 8288/222) = 4778032

LCM of 4612/298, 8288/222

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 4612/298,8288/222

Given numbers are 4612/298,8288/222

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 4612,8288

Least Common Multiple of Numerators i.e. LCM of 4612,8288 is 9556064.

GCF of Denominators means GCF of 298,222 as per the given fractions.

GCF of 298,222 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4612,8288

LCM of Fractions 4612/298,8288/222 is 4778032

2 4612, 8288
2 2306, 4144
1153, 2072

∴ So the LCM of the given numbers is 2 x 2 x 1153 x 2072 = 9556064

Least Common Multiple of 4612,8288 with GCF Formula

Least Common Multiple of 4612,8288 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 4612,8288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4612,8288) = 4

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

GCF(4612,8288) x common factors =4 x 1 = 4

LCM(4612,8288) = ( 4612 × 8288 ) / 4

LCM(4612,8288) = 38224256 / 4

LCM(4612,8288) = 9556064


Lets's calculate GCF of 298,222

2 298, 222
149, 111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9556064/2

Therefore the LCM of Fractions 4612/298,8288/222 is 4778032

Greatest Common Factor of 298,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,222 By Matching Biggest Common Factor Method

Factors of 298

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

1,2,149,298

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 298,222 . The biggest common factor number is the GCF number.
So the greatest common factor 298,222 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 4612/298, 8288/222

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 4612/298, 8288/222?

Answer: LCM of Numerators as per given numbers 4612/298, 8288/222 is

LCM of Numerators i.e. for 4612,8288 is 9556064

GCF of denominators i.e. for 298,222 is 2.

Thus, LCM of Fractions is 4778032.Finally, LCM of Fractions for 4612/298, 8288/222 is 4778032.