Least Common Multiple of 154/87, 336/41, 192/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 154/87, 336/41, 192/96 quickly i.e. 14784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 154/87, 336/41, 192/96 is 14784.

LCM(154/87, 336/41, 192/96) = 14784

LCM of 154/87, 336/41, 192/96

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 154/87,336/41,192/96

Given numbers are 154/87,336/41,192/96

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 154,336,192

Least Common Multiple of Numerators i.e. LCM of 154,336,192 is 14784.

GCF of Denominators means GCF of 87,41,96 as per the given fractions.

GCF of 87,41,96 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 154,336,192

LCM of Fractions 154/87,336/41,192/96 is 14784

2 154, 336, 192
2 77, 168, 96
2 77, 84, 48
2 77, 42, 24
3 77, 21, 12
7 77, 7, 4
11, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 11 x 1 x 4 = 14784

Least Common Multiple of 154,336,192 with GCF Formula

Least Common Multiple of 154,336,192 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 154,336,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,336,192) = 2

common factors(in case of two or more numbers have common factors) = 336

GCF(154,336,192) x common factors =2 x 336 = 672

LCM(154,336,192) = ( 154 × 336 × 192 ) / 672

LCM(154,336,192) = 9934848 / 672

LCM(154,336,192) = 14784


Lets's calculate GCF of 87,41,96

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14784/1

Therefore the LCM of Fractions 154/87,336/41,192/96 is 14784

Greatest Common Factor of 87,41,96 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,41,96 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Greatest Common Factor

We found the factors 87,41,96 . The biggest common factor number is the GCF number.
So the greatest common factor 87,41,96 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 154/87, 336/41, 192/96

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 154/87, 336/41, 192/96?

Answer: LCM of Numerators as per given numbers 154/87, 336/41, 192/96 is

LCM of Numerators i.e. for 154,336,192 is 14784

GCF of denominators i.e. for 87,41,96 is 1.

Thus, LCM of Fractions is 14784.Finally, LCM of Fractions for 154/87, 336/41, 192/96 is 14784.