Least Common Multiple of 31/176, 536/192, 996/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/176, 536/192, 996/575 quickly i.e. 4137384 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, 536/192, 996/575 is 4137384.

LCM(31/176, 536/192, 996/575) = 4137384

LCM of 31/176, 536/192, 996/575

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 31/176,536/192,996/575

Given numbers are 31/176,536/192,996/575

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 31,536,996

Least Common Multiple of Numerators i.e. LCM of 31,536,996 is 4137384.

GCF of Denominators means GCF of 176,192,575 as per the given fractions.

GCF of 176,192,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,536,996

LCM of Fractions 31/176,536/192,996/575 is 4137384

2 31, 536, 996
2 31, 268, 498
31, 134, 249

∴ So the LCM of the given numbers is 2 x 2 x 31 x 134 x 249 = 4137384

Least Common Multiple of 31,536,996 with GCF Formula

Least Common Multiple of 31,536,996 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 31,536,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,536,996) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(31,536,996) x common factors =1 x 4 = 4

LCM(31,536,996) = ( 31 × 536 × 996 ) / 4

LCM(31,536,996) = 16549536 / 4

LCM(31,536,996) = 4137384


Lets's calculate GCF of 176,192,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4137384/1

Therefore the LCM of Fractions 31/176,536/192,996/575 is 4137384

Greatest Common Factor of 176,192,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,192,575 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 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 176,192,575 . The biggest common factor number is the GCF number.
So the greatest common factor 176,192,575 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 31/176, 536/192, 996/575

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, 536/192, 996/575?

Answer: LCM of Numerators as per given numbers 31/176, 536/192, 996/575 is

LCM of Numerators i.e. for 31,536,996 is 4137384

GCF of denominators i.e. for 176,192,575 is 1.

Thus, LCM of Fractions is 4137384.Finally, LCM of Fractions for 31/176, 536/192, 996/575 is 4137384.