Least Common Multiple of 94/269, 48/369, 984/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/269, 48/369, 984/194 quickly i.e. 92496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/269, 48/369, 984/194 is 92496.

LCM(94/269, 48/369, 984/194) = 92496

LCM of 94/269, 48/369, 984/194

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 94/269,48/369,984/194

Given numbers are 94/269,48/369,984/194

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 94,48,984

Least Common Multiple of Numerators i.e. LCM of 94,48,984 is 92496.

GCF of Denominators means GCF of 269,369,194 as per the given fractions.

GCF of 269,369,194 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,48,984

LCM of Fractions 94/269,48/369,984/194 is 92496

2 94, 48, 984
2 47, 24, 492
2 47, 12, 246
3 47, 6, 123
47, 2, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 47 x 2 x 41 = 92496

Least Common Multiple of 94,48,984 with GCF Formula

Least Common Multiple of 94,48,984 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 94,48,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,48,984) = 2

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

GCF(94,48,984) x common factors =2 x 24 = 48

LCM(94,48,984) = ( 94 × 48 × 984 ) / 48

LCM(94,48,984) = 4439808 / 48

LCM(94,48,984) = 92496


Lets's calculate GCF of 269,369,194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92496/1

Therefore the LCM of Fractions 94/269,48/369,984/194 is 92496

Greatest Common Factor of 269,369,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,369,194 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 269,369,194 . The biggest common factor number is the GCF number.
So the greatest common factor 269,369,194 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 94/269, 48/369, 984/194

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 94/269, 48/369, 984/194?

Answer: LCM of Numerators as per given numbers 94/269, 48/369, 984/194 is

LCM of Numerators i.e. for 94,48,984 is 92496

GCF of denominators i.e. for 269,369,194 is 1.

Thus, LCM of Fractions is 92496.Finally, LCM of Fractions for 94/269, 48/369, 984/194 is 92496.