Least Common Multiple of 96/30, 661/94, 455/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/30, 661/94, 455/320 quickly i.e. 14436240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/30, 661/94, 455/320 is 14436240.

LCM(96/30, 661/94, 455/320) = 14436240

LCM of 96/30, 661/94, 455/320

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 96/30,661/94,455/320

Given numbers are 96/30,661/94,455/320

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 96,661,455

Least Common Multiple of Numerators i.e. LCM of 96,661,455 is 28872480.

GCF of Denominators means GCF of 30,94,320 as per the given fractions.

GCF of 30,94,320 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,661,455

LCM of Fractions 96/30,661/94,455/320 is 14436240

Given numbers has no common factors except 1. So, there LCM is their product i.e 28872480

Least Common Multiple of 96,661,455 with GCF Formula

Least Common Multiple of 96,661,455 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 96,661,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,661,455) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(96,661,455) x common factors =1 x 1 = 1

LCM(96,661,455) = ( 96 × 661 × 455 ) / 1

LCM(96,661,455) = 28872480 / 1

LCM(96,661,455) = 28872480


Lets's calculate GCF of 30,94,320

2 30, 94, 320
15, 47, 160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28872480/2

Therefore the LCM of Fractions 96/30,661/94,455/320 is 14436240

Greatest Common Factor of 30,94,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,94,320 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 30,94,320 . The biggest common factor number is the GCF number.
So the greatest common factor 30,94,320 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 96/30, 661/94, 455/320

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 96/30, 661/94, 455/320?

Answer: LCM of Numerators as per given numbers 96/30, 661/94, 455/320 is

LCM of Numerators i.e. for 96,661,455 is 28872480

GCF of denominators i.e. for 30,94,320 is 2.

Thus, LCM of Fractions is 14436240.Finally, LCM of Fractions for 96/30, 661/94, 455/320 is 14436240.