Least Common Multiple of 462/248, 916/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 462/248, 916/831 quickly i.e. 211596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 462/248, 916/831 is 211596.

LCM(462/248, 916/831) = 211596

LCM of 462/248, 916/831

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 462/248,916/831

Given numbers are 462/248,916/831

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 462,916

Least Common Multiple of Numerators i.e. LCM of 462,916 is 211596.

GCF of Denominators means GCF of 248,831 as per the given fractions.

GCF of 248,831 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 462,916

LCM of Fractions 462/248,916/831 is 211596

2 462, 916
231, 458

∴ So the LCM of the given numbers is 2 x 231 x 458 = 211596

Least Common Multiple of 462,916 with GCF Formula

Least Common Multiple of 462,916 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 462,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,916) = 2

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

GCF(462,916) x common factors =2 x 1 = 2

LCM(462,916) = ( 462 × 916 ) / 2

LCM(462,916) = 423192 / 2

LCM(462,916) = 211596


Lets's calculate GCF of 248,831

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211596/1

Therefore the LCM of Fractions 462/248,916/831 is 211596

Greatest Common Factor of 248,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 248,831 By Matching Biggest Common Factor Method

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 248,831 . The biggest common factor number is the GCF number.
So the greatest common factor 248,831 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 462/248, 916/831

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 462/248, 916/831?

Answer: LCM of Numerators as per given numbers 462/248, 916/831 is

LCM of Numerators i.e. for 462,916 is 211596

GCF of denominators i.e. for 248,831 is 1.

Thus, LCM of Fractions is 211596.Finally, LCM of Fractions for 462/248, 916/831 is 211596.