Least Common Multiple of 96/830, 7692/4382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/830, 7692/4382 quickly i.e. 30768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/830, 7692/4382 is 30768.

LCM(96/830, 7692/4382) = 30768

LCM of 96/830, 7692/4382

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 96/830,7692/4382

Given numbers are 96/830,7692/4382

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 96,7692

Least Common Multiple of Numerators i.e. LCM of 96,7692 is 61536.

GCF of Denominators means GCF of 830,4382 as per the given fractions.

GCF of 830,4382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,7692

LCM of Fractions 96/830,7692/4382 is 30768

2 96, 7692
2 48, 3846
3 24, 1923
8, 641

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 641 = 61536

Least Common Multiple of 96,7692 with GCF Formula

Least Common Multiple of 96,7692 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 96,7692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,7692) = 12

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

GCF(96,7692) x common factors =12 x 1 = 12

LCM(96,7692) = ( 96 × 7692 ) / 12

LCM(96,7692) = 738432 / 12

LCM(96,7692) = 61536


Lets's calculate GCF of 830,4382

2 830, 4382
415, 2191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61536/2

Therefore the LCM of Fractions 96/830,7692/4382 is 30768

Greatest Common Factor of 830,4382 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,4382 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 4382

List of positive integer factors of 4382 that divides 4382 without a remainder.

1,2,7,14,313,626,2191,4382

Greatest Common Factor

We found the factors 830,4382 . The biggest common factor number is the GCF number.
So the greatest common factor 830,4382 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 96/830, 7692/4382

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 96/830, 7692/4382?

Answer: LCM of Numerators as per given numbers 96/830, 7692/4382 is

LCM of Numerators i.e. for 96,7692 is 61536

GCF of denominators i.e. for 830,4382 is 2.

Thus, LCM of Fractions is 30768.Finally, LCM of Fractions for 96/830, 7692/4382 is 30768.