Least Common Multiple of 42/385, 4398/8113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/385, 4398/8113 quickly i.e. 4398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/385, 4398/8113 is 4398.

LCM(42/385, 4398/8113) = 4398

LCM of 42/385, 4398/8113

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 42/385,4398/8113

Given numbers are 42/385,4398/8113

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 42,4398

Least Common Multiple of Numerators i.e. LCM of 42,4398 is 30786.

GCF of Denominators means GCF of 385,8113 as per the given fractions.

GCF of 385,8113 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,4398

LCM of Fractions 42/385,4398/8113 is 4398

2 42, 4398
3 21, 2199
7, 733

∴ So the LCM of the given numbers is 2 x 3 x 7 x 733 = 30786

Least Common Multiple of 42,4398 with GCF Formula

Least Common Multiple of 42,4398 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 42,4398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,4398) = 6

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

GCF(42,4398) x common factors =6 x 1 = 6

LCM(42,4398) = ( 42 × 4398 ) / 6

LCM(42,4398) = 184716 / 6

LCM(42,4398) = 30786


Lets's calculate GCF of 385,8113

7 385, 8113
55, 1159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30786/7

Therefore the LCM of Fractions 42/385,4398/8113 is 4398

Greatest Common Factor of 385,8113 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,8113 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 8113

List of positive integer factors of 8113 that divides 8113 without a remainder.

1,7,19,61,133,427,1159,8113

Greatest Common Factor

We found the factors 385,8113 . The biggest common factor number is the GCF number.
So the greatest common factor 385,8113 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 42/385, 4398/8113

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 42/385, 4398/8113?

Answer: LCM of Numerators as per given numbers 42/385, 4398/8113 is

LCM of Numerators i.e. for 42,4398 is 30786

GCF of denominators i.e. for 385,8113 is 7.

Thus, LCM of Fractions is 4398.Finally, LCM of Fractions for 42/385, 4398/8113 is 4398.