Least Common Multiple of 42/24, 23/56, 19/54, 17/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/24, 23/56, 19/54, 17/619 quickly i.e. 312018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/24, 23/56, 19/54, 17/619 is 312018.

LCM(42/24, 23/56, 19/54, 17/619) = 312018

LCM of 42/24, 23/56, 19/54, 17/619

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 42/24,23/56,19/54,17/619

Given numbers are 42/24,23/56,19/54,17/619

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 42,23,19,17

Least Common Multiple of Numerators i.e. LCM of 42,23,19,17 is 312018.

GCF of Denominators means GCF of 24,56,54,619 as per the given fractions.

GCF of 24,56,54,619 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,23,19,17

LCM of Fractions 42/24,23/56,19/54,17/619 is 312018

Given numbers has no common factors except 1. So, there LCM is their product i.e 312018

Least Common Multiple of 42,23,19,17 with GCF Formula

Least Common Multiple of 42,23,19,17 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 42,23,19,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,23,19,17) = 1

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

GCF(42,23,19,17) x common factors =1 x 1 = 1

LCM(42,23,19,17) = ( 42 × 23 × 19 × 17 ) / 1

LCM(42,23,19,17) = 312018 / 1

LCM(42,23,19,17) = 312018


Lets's calculate GCF of 24,56,54,619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312018/1

Therefore the LCM of Fractions 42/24,23/56,19/54,17/619 is 312018

Greatest Common Factor of 24,56,54,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,56,54,619 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 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 24,56,54,619 . The biggest common factor number is the GCF number.
So the greatest common factor 24,56,54,619 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 42/24, 23/56, 19/54, 17/619

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 42/24, 23/56, 19/54, 17/619?

Answer: LCM of Numerators as per given numbers 42/24, 23/56, 19/54, 17/619 is

LCM of Numerators i.e. for 42,23,19,17 is 312018

GCF of denominators i.e. for 24,56,54,619 is 1.

Thus, LCM of Fractions is 312018.Finally, LCM of Fractions for 42/24, 23/56, 19/54, 17/619 is 312018.