Least Common Multiple of 96/720, 17/276, 182/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/720, 17/276, 182/403 quickly i.e. 148512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/720, 17/276, 182/403 is 148512.

LCM(96/720, 17/276, 182/403) = 148512

LCM of 96/720, 17/276, 182/403

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 96/720,17/276,182/403

Given numbers are 96/720,17/276,182/403

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 96,17,182

Least Common Multiple of Numerators i.e. LCM of 96,17,182 is 148512.

GCF of Denominators means GCF of 720,276,403 as per the given fractions.

GCF of 720,276,403 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,17,182

LCM of Fractions 96/720,17/276,182/403 is 148512

2 96, 17, 182
48, 17, 91

∴ So the LCM of the given numbers is 2 x 48 x 17 x 91 = 148512

Least Common Multiple of 96,17,182 with GCF Formula

Least Common Multiple of 96,17,182 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 96,17,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,17,182) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(96,17,182) x common factors =1 x 2 = 2

LCM(96,17,182) = ( 96 × 17 × 182 ) / 2

LCM(96,17,182) = 297024 / 2

LCM(96,17,182) = 148512


Lets's calculate GCF of 720,276,403

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148512/1

Therefore the LCM of Fractions 96/720,17/276,182/403 is 148512

Greatest Common Factor of 720,276,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,276,403 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 720,276,403 . The biggest common factor number is the GCF number.
So the greatest common factor 720,276,403 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 96/720, 17/276, 182/403

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 96/720, 17/276, 182/403?

Answer: LCM of Numerators as per given numbers 96/720, 17/276, 182/403 is

LCM of Numerators i.e. for 96,17,182 is 148512

GCF of denominators i.e. for 720,276,403 is 1.

Thus, LCM of Fractions is 148512.Finally, LCM of Fractions for 96/720, 17/276, 182/403 is 148512.