Least Common Multiple of 96/46, 888/48, 497/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/46, 888/48, 497/844 quickly i.e. 882672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/46, 888/48, 497/844 is 882672.

LCM(96/46, 888/48, 497/844) = 882672

LCM of 96/46, 888/48, 497/844

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 96/46,888/48,497/844

Given numbers are 96/46,888/48,497/844

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 96,888,497

Least Common Multiple of Numerators i.e. LCM of 96,888,497 is 1765344.

GCF of Denominators means GCF of 46,48,844 as per the given fractions.

GCF of 46,48,844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,888,497

LCM of Fractions 96/46,888/48,497/844 is 882672

2 96, 888, 497
2 48, 444, 497
2 24, 222, 497
3 12, 111, 497
4, 37, 497

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 37 x 497 = 1765344

Least Common Multiple of 96,888,497 with GCF Formula

Least Common Multiple of 96,888,497 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 96,888,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,888,497) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(96,888,497) x common factors =1 x 24 = 24

LCM(96,888,497) = ( 96 × 888 × 497 ) / 24

LCM(96,888,497) = 42368256 / 24

LCM(96,888,497) = 1765344


Lets's calculate GCF of 46,48,844

2 46, 48, 844
23, 24, 422

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1765344/2

Therefore the LCM of Fractions 96/46,888/48,497/844 is 882672

Greatest Common Factor of 46,48,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,48,844 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 46,48,844 . The biggest common factor number is the GCF number.
So the greatest common factor 46,48,844 is 2.


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 96/46, 888/48, 497/844

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 96/46, 888/48, 497/844?

Answer: LCM of Numerators as per given numbers 96/46, 888/48, 497/844 is

LCM of Numerators i.e. for 96,888,497 is 1765344

GCF of denominators i.e. for 46,48,844 is 2.

Thus, LCM of Fractions is 882672.Finally, LCM of Fractions for 96/46, 888/48, 497/844 is 882672.