Least Common Multiple of 537/705, 223/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 537/705, 223/803 quickly i.e. 119751 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 537/705, 223/803 is 119751.

LCM(537/705, 223/803) = 119751

LCM of 537/705, 223/803

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 537/705,223/803

Given numbers are 537/705,223/803

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 537,223

Least Common Multiple of Numerators i.e. LCM of 537,223 is 119751.

GCF of Denominators means GCF of 705,803 as per the given fractions.

GCF of 705,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 537,223

LCM of Fractions 537/705,223/803 is 119751

Given numbers has no common factors except 1. So, there LCM is their product i.e 119751

Least Common Multiple of 537,223 with GCF Formula

Least Common Multiple of 537,223 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 537,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,223) = 1

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

GCF(537,223) x common factors =1 x 1 = 1

LCM(537,223) = ( 537 × 223 ) / 1

LCM(537,223) = 119751 / 1

LCM(537,223) = 119751


Lets's calculate GCF of 705,803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119751/1

Therefore the LCM of Fractions 537/705,223/803 is 119751

Greatest Common Factor of 705,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,803 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 705,803 . The biggest common factor number is the GCF number.
So the greatest common factor 705,803 is 1.


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 537/705, 223/803

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 537/705, 223/803?

Answer: LCM of Numerators as per given numbers 537/705, 223/803 is

LCM of Numerators i.e. for 537,223 is 119751

GCF of denominators i.e. for 705,803 is 1.

Thus, LCM of Fractions is 119751.Finally, LCM of Fractions for 537/705, 223/803 is 119751.