Least Common Multiple of 768/79, 960/9808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/79, 960/9808 quickly i.e. 3840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/79, 960/9808 is 3840.

LCM(768/79, 960/9808) = 3840

LCM of 768/79, 960/9808

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 768/79,960/9808

Given numbers are 768/79,960/9808

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 768,960

Least Common Multiple of Numerators i.e. LCM of 768,960 is 3840.

GCF of Denominators means GCF of 79,9808 as per the given fractions.

GCF of 79,9808 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,960

LCM of Fractions 768/79,960/9808 is 3840

2 768, 960
2 384, 480
2 192, 240
2 96, 120
2 48, 60
2 24, 30
3 12, 15
4, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 4 x 5 = 3840

Least Common Multiple of 768,960 with GCF Formula

Least Common Multiple of 768,960 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 768,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,960) = 192

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

GCF(768,960) x common factors =192 x 1 = 192

LCM(768,960) = ( 768 × 960 ) / 192

LCM(768,960) = 737280 / 192

LCM(768,960) = 3840


Lets's calculate GCF of 79,9808

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3840/1

Therefore the LCM of Fractions 768/79,960/9808 is 3840

Greatest Common Factor of 79,9808 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,9808 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 9808

List of positive integer factors of 9808 that divides 9808 without a remainder.

1,2,4,8,16,613,1226,2452,4904,9808

Greatest Common Factor

We found the factors 79,9808 . The biggest common factor number is the GCF number.
So the greatest common factor 79,9808 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 768/79, 960/9808

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 768/79, 960/9808?

Answer: LCM of Numerators as per given numbers 768/79, 960/9808 is

LCM of Numerators i.e. for 768,960 is 3840

GCF of denominators i.e. for 79,9808 is 1.

Thus, LCM of Fractions is 3840.Finally, LCM of Fractions for 768/79, 960/9808 is 3840.