Least Common Multiple of 14/88, 24/28, 96/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 14/88, 24/28, 96/673 quickly i.e. 672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/88, 24/28, 96/673 is 672.

LCM(14/88, 24/28, 96/673) = 672

LCM of 14/88, 24/28, 96/673

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 14/88,24/28,96/673

Given numbers are 14/88,24/28,96/673

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 14,24,96

Least Common Multiple of Numerators i.e. LCM of 14,24,96 is 672.

GCF of Denominators means GCF of 88,28,673 as per the given fractions.

GCF of 88,28,673 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,24,96

LCM of Fractions 14/88,24/28,96/673 is 672

2 14, 24, 96
2 7, 12, 48
2 7, 6, 24
3 7, 3, 12
7, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 1 x 4 = 672

Least Common Multiple of 14,24,96 with GCF Formula

Least Common Multiple of 14,24,96 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 14,24,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,24,96) = 2

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

GCF(14,24,96) x common factors =2 x 24 = 48

LCM(14,24,96) = ( 14 × 24 × 96 ) / 48

LCM(14,24,96) = 32256 / 48

LCM(14,24,96) = 672


Lets's calculate GCF of 88,28,673

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 672/1

Therefore the LCM of Fractions 14/88,24/28,96/673 is 672

Greatest Common Factor of 88,28,673 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,28,673 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Greatest Common Factor

We found the factors 88,28,673 . The biggest common factor number is the GCF number.
So the greatest common factor 88,28,673 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 14/88, 24/28, 96/673

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 14/88, 24/28, 96/673?

Answer: LCM of Numerators as per given numbers 14/88, 24/28, 96/673 is

LCM of Numerators i.e. for 14,24,96 is 672

GCF of denominators i.e. for 88,28,673 is 1.

Thus, LCM of Fractions is 672.Finally, LCM of Fractions for 14/88, 24/28, 96/673 is 672.