Least Common Multiple of 74/18, 955/23, 578/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/18, 955/23, 578/968 quickly i.e. 20423630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/18, 955/23, 578/968 is 20423630.

LCM(74/18, 955/23, 578/968) = 20423630

LCM of 74/18, 955/23, 578/968

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 74/18,955/23,578/968

Given numbers are 74/18,955/23,578/968

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 74,955,578

Least Common Multiple of Numerators i.e. LCM of 74,955,578 is 20423630.

GCF of Denominators means GCF of 18,23,968 as per the given fractions.

GCF of 18,23,968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,955,578

LCM of Fractions 74/18,955/23,578/968 is 20423630

2 74, 955, 578
37, 955, 289

∴ So the LCM of the given numbers is 2 x 37 x 955 x 289 = 20423630

Least Common Multiple of 74,955,578 with GCF Formula

Least Common Multiple of 74,955,578 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 74,955,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,955,578) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,955,578) x common factors =1 x 2 = 2

LCM(74,955,578) = ( 74 × 955 × 578 ) / 2

LCM(74,955,578) = 40847260 / 2

LCM(74,955,578) = 20423630


Lets's calculate GCF of 18,23,968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20423630/1

Therefore the LCM of Fractions 74/18,955/23,578/968 is 20423630

Greatest Common Factor of 18,23,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,23,968 By Matching Biggest Common Factor Method

Factors of 18

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

1,2,3,6,9,18

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 18,23,968 . The biggest common factor number is the GCF number.
So the greatest common factor 18,23,968 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 74/18, 955/23, 578/968

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 74/18, 955/23, 578/968?

Answer: LCM of Numerators as per given numbers 74/18, 955/23, 578/968 is

LCM of Numerators i.e. for 74,955,578 is 20423630

GCF of denominators i.e. for 18,23,968 is 1.

Thus, LCM of Fractions is 20423630.Finally, LCM of Fractions for 74/18, 955/23, 578/968 is 20423630.