Least Common Multiple of 31/176, 96/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/176, 96/803 quickly i.e. 2976/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/176, 96/803 is 2976/11.

LCM(31/176, 96/803) = 2976/11

LCM of 31/176, 96/803

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 31/176,96/803

Given numbers are 31/176,96/803

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 31,96

Least Common Multiple of Numerators i.e. LCM of 31,96 is 2976.

GCF of Denominators means GCF of 176,803 as per the given fractions.

GCF of 176,803 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,96

LCM of Fractions 31/176,96/803 is 2976/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 2976

Least Common Multiple of 31,96 with GCF Formula

Least Common Multiple of 31,96 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 31,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,96) = 1

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

GCF(31,96) x common factors =1 x 1 = 1

LCM(31,96) = ( 31 × 96 ) / 1

LCM(31,96) = 2976 / 1

LCM(31,96) = 2976


Lets's calculate GCF of 176,803

11 176, 803
16, 73

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2976/11

Therefore the LCM of Fractions 31/176,96/803 is 2976/11

Greatest Common Factor of 176,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,803 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

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 176,803 . The biggest common factor number is the GCF number.
So the greatest common factor 176,803 is 11.


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 31/176, 96/803

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 31/176, 96/803?

Answer: LCM of Numerators as per given numbers 31/176, 96/803 is

LCM of Numerators i.e. for 31,96 is 2976

GCF of denominators i.e. for 176,803 is 11.

Thus, LCM of Fractions is 2976/11.Finally, LCM of Fractions for 31/176, 96/803 is 2976/11.