Least Common Multiple of 385/83, 400/4068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 385/83, 400/4068 quickly i.e. 30800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 385/83, 400/4068 is 30800.

LCM(385/83, 400/4068) = 30800

LCM of 385/83, 400/4068

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 385/83,400/4068

Given numbers are 385/83,400/4068

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 385,400

Least Common Multiple of Numerators i.e. LCM of 385,400 is 30800.

GCF of Denominators means GCF of 83,4068 as per the given fractions.

GCF of 83,4068 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 385,400

LCM of Fractions 385/83,400/4068 is 30800

5 385, 400
77, 80

∴ So the LCM of the given numbers is 5 x 77 x 80 = 30800

Least Common Multiple of 385,400 with GCF Formula

Least Common Multiple of 385,400 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 385,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,400) = 5

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

GCF(385,400) x common factors =5 x 1 = 5

LCM(385,400) = ( 385 × 400 ) / 5

LCM(385,400) = 154000 / 5

LCM(385,400) = 30800


Lets's calculate GCF of 83,4068

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30800/1

Therefore the LCM of Fractions 385/83,400/4068 is 30800

Greatest Common Factor of 83,4068 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,4068 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 4068

List of positive integer factors of 4068 that divides 4068 without a remainder.

1,2,3,4,6,9,12,18,36,113,226,339,452,678,1017,1356,2034,4068

Greatest Common Factor

We found the factors 83,4068 . The biggest common factor number is the GCF number.
So the greatest common factor 83,4068 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 385/83, 400/4068

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 385/83, 400/4068?

Answer: LCM of Numerators as per given numbers 385/83, 400/4068 is

LCM of Numerators i.e. for 385,400 is 30800

GCF of denominators i.e. for 83,4068 is 1.

Thus, LCM of Fractions is 30800.Finally, LCM of Fractions for 385/83, 400/4068 is 30800.