Least Common Multiple of 273/148, 7282/2235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 273/148, 7282/2235 quickly i.e. 1987986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 273/148, 7282/2235 is 1987986.

LCM(273/148, 7282/2235) = 1987986

LCM of 273/148, 7282/2235

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 273/148,7282/2235

Given numbers are 273/148,7282/2235

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 273,7282

Least Common Multiple of Numerators i.e. LCM of 273,7282 is 1987986.

GCF of Denominators means GCF of 148,2235 as per the given fractions.

GCF of 148,2235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 273,7282

LCM of Fractions 273/148,7282/2235 is 1987986

Given numbers has no common factors except 1. So, there LCM is their product i.e 1987986

Least Common Multiple of 273,7282 with GCF Formula

Least Common Multiple of 273,7282 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 273,7282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,7282) = 1

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

GCF(273,7282) x common factors =1 x 1 = 1

LCM(273,7282) = ( 273 × 7282 ) / 1

LCM(273,7282) = 1987986 / 1

LCM(273,7282) = 1987986


Lets's calculate GCF of 148,2235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1987986/1

Therefore the LCM of Fractions 273/148,7282/2235 is 1987986

Greatest Common Factor of 148,2235 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,2235 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 2235

List of positive integer factors of 2235 that divides 2235 without a remainder.

1,3,5,15,149,447,745,2235

Greatest Common Factor

We found the factors 148,2235 . The biggest common factor number is the GCF number.
So the greatest common factor 148,2235 is 1.


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 273/148, 7282/2235

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 273/148, 7282/2235?

Answer: LCM of Numerators as per given numbers 273/148, 7282/2235 is

LCM of Numerators i.e. for 273,7282 is 1987986

GCF of denominators i.e. for 148,2235 is 1.

Thus, LCM of Fractions is 1987986.Finally, LCM of Fractions for 273/148, 7282/2235 is 1987986.