Least Common Multiple of 96/95, 72/704, 414/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/95, 72/704, 414/640 quickly i.e. 6624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/95, 72/704, 414/640 is 6624.

LCM(96/95, 72/704, 414/640) = 6624

LCM of 96/95, 72/704, 414/640

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 96/95,72/704,414/640

Given numbers are 96/95,72/704,414/640

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 96,72,414

Least Common Multiple of Numerators i.e. LCM of 96,72,414 is 6624.

GCF of Denominators means GCF of 95,704,640 as per the given fractions.

GCF of 95,704,640 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,72,414

LCM of Fractions 96/95,72/704,414/640 is 6624

2 96, 72, 414
2 48, 36, 207
2 24, 18, 207
3 12, 9, 207
3 4, 3, 69
4, 1, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 4 x 1 x 23 = 6624

Least Common Multiple of 96,72,414 with GCF Formula

Least Common Multiple of 96,72,414 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 96,72,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,72,414) = 6

common factors(in case of two or more numbers have common factors) = 72

GCF(96,72,414) x common factors =6 x 72 = 432

LCM(96,72,414) = ( 96 × 72 × 414 ) / 432

LCM(96,72,414) = 2861568 / 432

LCM(96,72,414) = 6624


Lets's calculate GCF of 95,704,640

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6624/1

Therefore the LCM of Fractions 96/95,72/704,414/640 is 6624

Greatest Common Factor of 95,704,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,704,640 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 95,704,640 . The biggest common factor number is the GCF number.
So the greatest common factor 95,704,640 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 96/95, 72/704, 414/640

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 96/95, 72/704, 414/640?

Answer: LCM of Numerators as per given numbers 96/95, 72/704, 414/640 is

LCM of Numerators i.e. for 96,72,414 is 6624

GCF of denominators i.e. for 95,704,640 is 1.

Thus, LCM of Fractions is 6624.Finally, LCM of Fractions for 96/95, 72/704, 414/640 is 6624.