Least Common Multiple of 192/88, 468/38, 264/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 192/88, 468/38, 264/350 quickly i.e. 41184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 192/88, 468/38, 264/350 is 41184.

LCM(192/88, 468/38, 264/350) = 41184

LCM of 192/88, 468/38, 264/350

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 192/88,468/38,264/350

Given numbers are 192/88,468/38,264/350

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 192,468,264

Least Common Multiple of Numerators i.e. LCM of 192,468,264 is 82368.

GCF of Denominators means GCF of 88,38,350 as per the given fractions.

GCF of 88,38,350 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 192,468,264

LCM of Fractions 192/88,468/38,264/350 is 41184

2 192, 468, 264
2 96, 234, 132
2 48, 117, 66
3 24, 117, 33
8, 39, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 8 x 39 x 11 = 82368

Least Common Multiple of 192,468,264 with GCF Formula

Least Common Multiple of 192,468,264 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 192,468,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,468,264) = 12

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

GCF(192,468,264) x common factors =12 x 24 = 288

LCM(192,468,264) = ( 192 × 468 × 264 ) / 288

LCM(192,468,264) = 23721984 / 288

LCM(192,468,264) = 82368


Lets's calculate GCF of 88,38,350

2 88, 38, 350
44, 19, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82368/2

Therefore the LCM of Fractions 192/88,468/38,264/350 is 41184

Greatest Common Factor of 88,38,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,38,350 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 88,38,350 . The biggest common factor number is the GCF number.
So the greatest common factor 88,38,350 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 192/88, 468/38, 264/350

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 192/88, 468/38, 264/350?

Answer: LCM of Numerators as per given numbers 192/88, 468/38, 264/350 is

LCM of Numerators i.e. for 192,468,264 is 82368

GCF of denominators i.e. for 88,38,350 is 2.

Thus, LCM of Fractions is 41184.Finally, LCM of Fractions for 192/88, 468/38, 264/350 is 41184.