Least Common Multiple of 7263/290, 1998/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7263/290, 1998/168 quickly i.e. 268731 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7263/290, 1998/168 is 268731.

LCM(7263/290, 1998/168) = 268731

LCM of 7263/290, 1998/168

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 7263/290,1998/168

Given numbers are 7263/290,1998/168

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 7263,1998

Least Common Multiple of Numerators i.e. LCM of 7263,1998 is 537462.

GCF of Denominators means GCF of 290,168 as per the given fractions.

GCF of 290,168 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7263,1998

LCM of Fractions 7263/290,1998/168 is 268731

3 7263, 1998
3 2421, 666
3 807, 222
269, 74

∴ So the LCM of the given numbers is 3 x 3 x 3 x 269 x 74 = 537462

Least Common Multiple of 7263,1998 with GCF Formula

Least Common Multiple of 7263,1998 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 7263,1998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7263,1998) = 27

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

GCF(7263,1998) x common factors =27 x 1 = 27

LCM(7263,1998) = ( 7263 × 1998 ) / 27

LCM(7263,1998) = 14511474 / 27

LCM(7263,1998) = 537462


Lets's calculate GCF of 290,168

2 290, 168
145, 84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 537462/2

Therefore the LCM of Fractions 7263/290,1998/168 is 268731

Greatest Common Factor of 290,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,168 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 290,168 . The biggest common factor number is the GCF number.
So the greatest common factor 290,168 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 7263/290, 1998/168

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 7263/290, 1998/168?

Answer: LCM of Numerators as per given numbers 7263/290, 1998/168 is

LCM of Numerators i.e. for 7263,1998 is 537462

GCF of denominators i.e. for 290,168 is 2.

Thus, LCM of Fractions is 268731.Finally, LCM of Fractions for 7263/290, 1998/168 is 268731.