Least Common Multiple of 114/68, 505/18, 411/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/68, 505/18, 411/600 quickly i.e. 3943545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/68, 505/18, 411/600 is 3943545.

LCM(114/68, 505/18, 411/600) = 3943545

LCM of 114/68, 505/18, 411/600

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 114/68,505/18,411/600

Given numbers are 114/68,505/18,411/600

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 114,505,411

Least Common Multiple of Numerators i.e. LCM of 114,505,411 is 7887090.

GCF of Denominators means GCF of 68,18,600 as per the given fractions.

GCF of 68,18,600 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,505,411

LCM of Fractions 114/68,505/18,411/600 is 3943545

3 114, 505, 411
38, 505, 137

∴ So the LCM of the given numbers is 3 x 38 x 505 x 137 = 7887090

Least Common Multiple of 114,505,411 with GCF Formula

Least Common Multiple of 114,505,411 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 114,505,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,505,411) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(114,505,411) x common factors =1 x 3 = 3

LCM(114,505,411) = ( 114 × 505 × 411 ) / 3

LCM(114,505,411) = 23661270 / 3

LCM(114,505,411) = 7887090


Lets's calculate GCF of 68,18,600

2 68, 18, 600
34, 9, 300

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7887090/2

Therefore the LCM of Fractions 114/68,505/18,411/600 is 3943545

Greatest Common Factor of 68,18,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,18,600 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 68,18,600 . The biggest common factor number is the GCF number.
So the greatest common factor 68,18,600 is 2.


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 114/68, 505/18, 411/600

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 114/68, 505/18, 411/600?

Answer: LCM of Numerators as per given numbers 114/68, 505/18, 411/600 is

LCM of Numerators i.e. for 114,505,411 is 7887090

GCF of denominators i.e. for 68,18,600 is 2.

Thus, LCM of Fractions is 3943545.Finally, LCM of Fractions for 114/68, 505/18, 411/600 is 3943545.