Least Common Multiple of 97/200, 8296/1448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/200, 8296/1448 quickly i.e. 100589 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/200, 8296/1448 is 100589.

LCM(97/200, 8296/1448) = 100589

LCM of 97/200, 8296/1448

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 97/200,8296/1448

Given numbers are 97/200,8296/1448

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 97,8296

Least Common Multiple of Numerators i.e. LCM of 97,8296 is 804712.

GCF of Denominators means GCF of 200,1448 as per the given fractions.

GCF of 200,1448 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,8296

LCM of Fractions 97/200,8296/1448 is 100589

Given numbers has no common factors except 1. So, there LCM is their product i.e 804712

Least Common Multiple of 97,8296 with GCF Formula

Least Common Multiple of 97,8296 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 97,8296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,8296) = 1

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

GCF(97,8296) x common factors =1 x 1 = 1

LCM(97,8296) = ( 97 × 8296 ) / 1

LCM(97,8296) = 804712 / 1

LCM(97,8296) = 804712


Lets's calculate GCF of 200,1448

2 200, 1448
2 100, 724
2 50, 362
25, 181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 804712/8

Therefore the LCM of Fractions 97/200,8296/1448 is 100589

Greatest Common Factor of 200,1448 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,1448 By Matching Biggest Common Factor Method

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

Factors of 1448

List of positive integer factors of 1448 that divides 1448 without a remainder.

1,2,4,8,181,362,724,1448

Greatest Common Factor

We found the factors 200,1448 . The biggest common factor number is the GCF number.
So the greatest common factor 200,1448 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 97/200, 8296/1448

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 97/200, 8296/1448?

Answer: LCM of Numerators as per given numbers 97/200, 8296/1448 is

LCM of Numerators i.e. for 97,8296 is 804712

GCF of denominators i.e. for 200,1448 is 8.

Thus, LCM of Fractions is 100589.Finally, LCM of Fractions for 97/200, 8296/1448 is 100589.