Least Common Multiple of 9248/48, 9852/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9248/48, 9852/200 quickly i.e. 2847228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9248/48, 9852/200 is 2847228.

LCM(9248/48, 9852/200) = 2847228

LCM of 9248/48, 9852/200

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 9248/48,9852/200

Given numbers are 9248/48,9852/200

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 9248,9852

Least Common Multiple of Numerators i.e. LCM of 9248,9852 is 22777824.

GCF of Denominators means GCF of 48,200 as per the given fractions.

GCF of 48,200 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9248,9852

LCM of Fractions 9248/48,9852/200 is 2847228

2 9248, 9852
2 4624, 4926
2312, 2463

∴ So the LCM of the given numbers is 2 x 2 x 2312 x 2463 = 22777824

Least Common Multiple of 9248,9852 with GCF Formula

Least Common Multiple of 9248,9852 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 9248,9852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9248,9852) = 4

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

GCF(9248,9852) x common factors =4 x 1 = 4

LCM(9248,9852) = ( 9248 × 9852 ) / 4

LCM(9248,9852) = 91111296 / 4

LCM(9248,9852) = 22777824


Lets's calculate GCF of 48,200

2 48, 200
2 24, 100
2 12, 50
6, 25

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22777824/8

Therefore the LCM of Fractions 9248/48,9852/200 is 2847228

Greatest Common Factor of 48,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,200 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 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 48,200 . The biggest common factor number is the GCF number.
So the greatest common factor 48,200 is 8.


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 9248/48, 9852/200

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 9248/48, 9852/200?

Answer: LCM of Numerators as per given numbers 9248/48, 9852/200 is

LCM of Numerators i.e. for 9248,9852 is 22777824

GCF of denominators i.e. for 48,200 is 8.

Thus, LCM of Fractions is 2847228.Finally, LCM of Fractions for 9248/48, 9852/200 is 2847228.