Least Common Multiple of 7696/136, 4846/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7696/136, 4846/493 quickly i.e. 18647408/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7696/136, 4846/493 is 18647408/17.

LCM(7696/136, 4846/493) = 18647408/17

LCM of 7696/136, 4846/493

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 7696/136,4846/493

Given numbers are 7696/136,4846/493

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 7696,4846

Least Common Multiple of Numerators i.e. LCM of 7696,4846 is 18647408.

GCF of Denominators means GCF of 136,493 as per the given fractions.

GCF of 136,493 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7696,4846

LCM of Fractions 7696/136,4846/493 is 18647408/17

2 7696, 4846
3848, 2423

∴ So the LCM of the given numbers is 2 x 3848 x 2423 = 18647408

Least Common Multiple of 7696,4846 with GCF Formula

Least Common Multiple of 7696,4846 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 7696,4846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7696,4846) = 2

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

GCF(7696,4846) x common factors =2 x 1 = 2

LCM(7696,4846) = ( 7696 × 4846 ) / 2

LCM(7696,4846) = 37294816 / 2

LCM(7696,4846) = 18647408


Lets's calculate GCF of 136,493

17 136, 493
8, 29

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18647408/17

Therefore the LCM of Fractions 7696/136,4846/493 is 18647408/17

Greatest Common Factor of 136,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,493 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 136,493 . The biggest common factor number is the GCF number.
So the greatest common factor 136,493 is 17.


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 7696/136, 4846/493

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 7696/136, 4846/493?

Answer: LCM of Numerators as per given numbers 7696/136, 4846/493 is

LCM of Numerators i.e. for 7696,4846 is 18647408

GCF of denominators i.e. for 136,493 is 17.

Thus, LCM of Fractions is 18647408/17.Finally, LCM of Fractions for 7696/136, 4846/493 is 18647408/17.