Least Common Multiple of 514/48, 7768/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/48, 7768/160 quickly i.e. 1996376/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/48, 7768/160 is 1996376/16.

LCM(514/48, 7768/160) = 1996376/16

LCM of 514/48, 7768/160

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 514/48,7768/160

Given numbers are 514/48,7768/160

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 514,7768

Least Common Multiple of Numerators i.e. LCM of 514,7768 is 1996376.

GCF of Denominators means GCF of 48,160 as per the given fractions.

GCF of 48,160 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,7768

LCM of Fractions 514/48,7768/160 is 1996376/16

2 514, 7768
257, 3884

∴ So the LCM of the given numbers is 2 x 257 x 3884 = 1996376

Least Common Multiple of 514,7768 with GCF Formula

Least Common Multiple of 514,7768 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 514,7768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,7768) = 2

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

GCF(514,7768) x common factors =2 x 1 = 2

LCM(514,7768) = ( 514 × 7768 ) / 2

LCM(514,7768) = 3992752 / 2

LCM(514,7768) = 1996376


Lets's calculate GCF of 48,160

2 48, 160
2 24, 80
2 12, 40
2 6, 20
3, 10

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1996376/16

Therefore the LCM of Fractions 514/48,7768/160 is 1996376/16

Greatest Common Factor of 48,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,160 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

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

Greatest Common Factor

We found the factors 48,160 . The biggest common factor number is the GCF number.
So the greatest common factor 48,160 is 16.


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 514/48, 7768/160

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 514/48, 7768/160?

Answer: LCM of Numerators as per given numbers 514/48, 7768/160 is

LCM of Numerators i.e. for 514,7768 is 1996376

GCF of denominators i.e. for 48,160 is 16.

Thus, LCM of Fractions is 1996376/16.Finally, LCM of Fractions for 514/48, 7768/160 is 1996376/16.