Least Common Multiple of 8448/392, 7738/4081

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8448/392, 7738/4081 quickly i.e. 32685312/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8448/392, 7738/4081 is 32685312/7.

LCM(8448/392, 7738/4081) = 32685312/7

LCM of 8448/392, 7738/4081

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 8448/392,7738/4081

Given numbers are 8448/392,7738/4081

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 8448,7738

Least Common Multiple of Numerators i.e. LCM of 8448,7738 is 32685312.

GCF of Denominators means GCF of 392,4081 as per the given fractions.

GCF of 392,4081 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8448,7738

LCM of Fractions 8448/392,7738/4081 is 32685312/7

2 8448, 7738
4224, 3869

∴ So the LCM of the given numbers is 2 x 4224 x 3869 = 32685312

Least Common Multiple of 8448,7738 with GCF Formula

Least Common Multiple of 8448,7738 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 8448,7738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8448,7738) = 2

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

GCF(8448,7738) x common factors =2 x 1 = 2

LCM(8448,7738) = ( 8448 × 7738 ) / 2

LCM(8448,7738) = 65370624 / 2

LCM(8448,7738) = 32685312


Lets's calculate GCF of 392,4081

7 392, 4081
56, 583

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32685312/7

Therefore the LCM of Fractions 8448/392,7738/4081 is 32685312/7

Greatest Common Factor of 392,4081 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,4081 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 4081

List of positive integer factors of 4081 that divides 4081 without a remainder.

1,7,11,53,77,371,583,4081

Greatest Common Factor

We found the factors 392,4081 . The biggest common factor number is the GCF number.
So the greatest common factor 392,4081 is 7.


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 8448/392, 7738/4081

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 8448/392, 7738/4081?

Answer: LCM of Numerators as per given numbers 8448/392, 7738/4081 is

LCM of Numerators i.e. for 8448,7738 is 32685312

GCF of denominators i.e. for 392,4081 is 7.

Thus, LCM of Fractions is 32685312/7.Finally, LCM of Fractions for 8448/392, 7738/4081 is 32685312/7.