Least Common Multiple of 703/27, 492/1203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 703/27, 492/1203 quickly i.e. 115292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 703/27, 492/1203 is 115292.

LCM(703/27, 492/1203) = 115292

LCM of 703/27, 492/1203

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 703/27,492/1203

Given numbers are 703/27,492/1203

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 703,492

Least Common Multiple of Numerators i.e. LCM of 703,492 is 345876.

GCF of Denominators means GCF of 27,1203 as per the given fractions.

GCF of 27,1203 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 703,492

LCM of Fractions 703/27,492/1203 is 115292

Given numbers has no common factors except 1. So, there LCM is their product i.e 345876

Least Common Multiple of 703,492 with GCF Formula

Least Common Multiple of 703,492 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 703,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,492) = 1

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

GCF(703,492) x common factors =1 x 1 = 1

LCM(703,492) = ( 703 × 492 ) / 1

LCM(703,492) = 345876 / 1

LCM(703,492) = 345876


Lets's calculate GCF of 27,1203

3 27, 1203
9, 401

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 345876/3

Therefore the LCM of Fractions 703/27,492/1203 is 115292

Greatest Common Factor of 27,1203 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,1203 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 1203

List of positive integer factors of 1203 that divides 1203 without a remainder.

1,3,401,1203

Greatest Common Factor

We found the factors 27,1203 . The biggest common factor number is the GCF number.
So the greatest common factor 27,1203 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 703/27, 492/1203

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 703/27, 492/1203?

Answer: LCM of Numerators as per given numbers 703/27, 492/1203 is

LCM of Numerators i.e. for 703,492 is 345876

GCF of denominators i.e. for 27,1203 is 3.

Thus, LCM of Fractions is 115292.Finally, LCM of Fractions for 703/27, 492/1203 is 115292.