Least Common Multiple of 77/24, 19/40, 23/45, 18/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/24, 19/40, 23/45, 18/114 quickly i.e. 605682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/24, 19/40, 23/45, 18/114 is 605682.

LCM(77/24, 19/40, 23/45, 18/114) = 605682

LCM of 77/24, 19/40, 23/45, 18/114

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 77/24,19/40,23/45,18/114

Given numbers are 77/24,19/40,23/45,18/114

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 77,19,23,18

Least Common Multiple of Numerators i.e. LCM of 77,19,23,18 is 605682.

GCF of Denominators means GCF of 24,40,45,114 as per the given fractions.

GCF of 24,40,45,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,19,23,18

LCM of Fractions 77/24,19/40,23/45,18/114 is 605682

Given numbers has no common factors except 1. So, there LCM is their product i.e 605682

Least Common Multiple of 77,19,23,18 with GCF Formula

Least Common Multiple of 77,19,23,18 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 77,19,23,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,19,23,18) = 1

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

GCF(77,19,23,18) x common factors =1 x 1 = 1

LCM(77,19,23,18) = ( 77 × 19 × 23 × 18 ) / 1

LCM(77,19,23,18) = 605682 / 1

LCM(77,19,23,18) = 605682


Lets's calculate GCF of 24,40,45,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 605682/1

Therefore the LCM of Fractions 77/24,19/40,23/45,18/114 is 605682

Greatest Common Factor of 24,40,45,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,40,45,114 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 24,40,45,114 . The biggest common factor number is the GCF number.
So the greatest common factor 24,40,45,114 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 77/24, 19/40, 23/45, 18/114

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 77/24, 19/40, 23/45, 18/114?

Answer: LCM of Numerators as per given numbers 77/24, 19/40, 23/45, 18/114 is

LCM of Numerators i.e. for 77,19,23,18 is 605682

GCF of denominators i.e. for 24,40,45,114 is 1.

Thus, LCM of Fractions is 605682.Finally, LCM of Fractions for 77/24, 19/40, 23/45, 18/114 is 605682.