Least Common Multiple of 31/781, 167/181, 448/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/781, 167/181, 448/536 quickly i.e. 2319296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/781, 167/181, 448/536 is 2319296.

LCM(31/781, 167/181, 448/536) = 2319296

LCM of 31/781, 167/181, 448/536

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 31/781,167/181,448/536

Given numbers are 31/781,167/181,448/536

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 31,167,448

Least Common Multiple of Numerators i.e. LCM of 31,167,448 is 2319296.

GCF of Denominators means GCF of 781,181,536 as per the given fractions.

GCF of 781,181,536 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,167,448

LCM of Fractions 31/781,167/181,448/536 is 2319296

Given numbers has no common factors except 1. So, there LCM is their product i.e 2319296

Least Common Multiple of 31,167,448 with GCF Formula

Least Common Multiple of 31,167,448 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 31,167,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,167,448) = 1

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

GCF(31,167,448) x common factors =1 x 1 = 1

LCM(31,167,448) = ( 31 × 167 × 448 ) / 1

LCM(31,167,448) = 2319296 / 1

LCM(31,167,448) = 2319296


Lets's calculate GCF of 781,181,536

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2319296/1

Therefore the LCM of Fractions 31/781,167/181,448/536 is 2319296

Greatest Common Factor of 781,181,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,181,536 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 781,181,536 . The biggest common factor number is the GCF number.
So the greatest common factor 781,181,536 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 31/781, 167/181, 448/536

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 31/781, 167/181, 448/536?

Answer: LCM of Numerators as per given numbers 31/781, 167/181, 448/536 is

LCM of Numerators i.e. for 31,167,448 is 2319296

GCF of denominators i.e. for 781,181,536 is 1.

Thus, LCM of Fractions is 2319296.Finally, LCM of Fractions for 31/781, 167/181, 448/536 is 2319296.