Least Common Multiple of 992/48, 446/8300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 992/48, 446/8300 quickly i.e. 55304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 992/48, 446/8300 is 55304.

LCM(992/48, 446/8300) = 55304

LCM of 992/48, 446/8300

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 992/48,446/8300

Given numbers are 992/48,446/8300

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 992,446

Least Common Multiple of Numerators i.e. LCM of 992,446 is 221216.

GCF of Denominators means GCF of 48,8300 as per the given fractions.

GCF of 48,8300 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 992,446

LCM of Fractions 992/48,446/8300 is 55304

2 992, 446
496, 223

∴ So the LCM of the given numbers is 2 x 496 x 223 = 221216

Least Common Multiple of 992,446 with GCF Formula

Least Common Multiple of 992,446 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 992,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,446) = 2

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

GCF(992,446) x common factors =2 x 1 = 2

LCM(992,446) = ( 992 × 446 ) / 2

LCM(992,446) = 442432 / 2

LCM(992,446) = 221216


Lets's calculate GCF of 48,8300

2 48, 8300
2 24, 4150
12, 2075

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221216/4

Therefore the LCM of Fractions 992/48,446/8300 is 55304

Greatest Common Factor of 48,8300 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,8300 By Matching Biggest Common Factor Method

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 8300

List of positive integer factors of 8300 that divides 8300 without a remainder.

1,2,4,5,10,20,25,50,83,100,166,332,415,830,1660,2075,4150,8300

Greatest Common Factor

We found the factors 48,8300 . The biggest common factor number is the GCF number.
So the greatest common factor 48,8300 is 4.


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 992/48, 446/8300

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 992/48, 446/8300?

Answer: LCM of Numerators as per given numbers 992/48, 446/8300 is

LCM of Numerators i.e. for 992,446 is 221216

GCF of denominators i.e. for 48,8300 is 4.

Thus, LCM of Fractions is 55304.Finally, LCM of Fractions for 992/48, 446/8300 is 55304.