Least Common Multiple of 263/298, 7438/7092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 263/298, 7438/7092 quickly i.e. 978097 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 263/298, 7438/7092 is 978097.

LCM(263/298, 7438/7092) = 978097

LCM of 263/298, 7438/7092

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 263/298,7438/7092

Given numbers are 263/298,7438/7092

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 263,7438

Least Common Multiple of Numerators i.e. LCM of 263,7438 is 1956194.

GCF of Denominators means GCF of 298,7092 as per the given fractions.

GCF of 298,7092 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 263,7438

LCM of Fractions 263/298,7438/7092 is 978097

Given numbers has no common factors except 1. So, there LCM is their product i.e 1956194

Least Common Multiple of 263,7438 with GCF Formula

Least Common Multiple of 263,7438 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 263,7438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,7438) = 1

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

GCF(263,7438) x common factors =1 x 1 = 1

LCM(263,7438) = ( 263 × 7438 ) / 1

LCM(263,7438) = 1956194 / 1

LCM(263,7438) = 1956194


Lets's calculate GCF of 298,7092

2 298, 7092
149, 3546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1956194/2

Therefore the LCM of Fractions 263/298,7438/7092 is 978097

Greatest Common Factor of 298,7092 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,7092 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 7092

List of positive integer factors of 7092 that divides 7092 without a remainder.

1,2,3,4,6,9,12,18,36,197,394,591,788,1182,1773,2364,3546,7092

Greatest Common Factor

We found the factors 298,7092 . The biggest common factor number is the GCF number.
So the greatest common factor 298,7092 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 263/298, 7438/7092

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 263/298, 7438/7092?

Answer: LCM of Numerators as per given numbers 263/298, 7438/7092 is

LCM of Numerators i.e. for 263,7438 is 1956194

GCF of denominators i.e. for 298,7092 is 2.

Thus, LCM of Fractions is 978097.Finally, LCM of Fractions for 263/298, 7438/7092 is 978097.