Least Common Multiple of 243/74, 248/11, 589/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 243/74, 248/11, 589/102 quickly i.e. 1145016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/74, 248/11, 589/102 is 1145016.

LCM(243/74, 248/11, 589/102) = 1145016

LCM of 243/74, 248/11, 589/102

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 243/74,248/11,589/102

Given numbers are 243/74,248/11,589/102

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 243,248,589

Least Common Multiple of Numerators i.e. LCM of 243,248,589 is 1145016.

GCF of Denominators means GCF of 74,11,102 as per the given fractions.

GCF of 74,11,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,248,589

LCM of Fractions 243/74,248/11,589/102 is 1145016

31 243, 248, 589
243, 8, 19

∴ So the LCM of the given numbers is 31 x 243 x 8 x 19 = 1145016

Least Common Multiple of 243,248,589 with GCF Formula

Least Common Multiple of 243,248,589 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 243,248,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,248,589) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(243,248,589) x common factors =1 x 31 = 31

LCM(243,248,589) = ( 243 × 248 × 589 ) / 31

LCM(243,248,589) = 35495496 / 31

LCM(243,248,589) = 1145016


Lets's calculate GCF of 74,11,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1145016/1

Therefore the LCM of Fractions 243/74,248/11,589/102 is 1145016

Greatest Common Factor of 74,11,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,11,102 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 74,11,102 . The biggest common factor number is the GCF number.
So the greatest common factor 74,11,102 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 243/74, 248/11, 589/102

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 243/74, 248/11, 589/102?

Answer: LCM of Numerators as per given numbers 243/74, 248/11, 589/102 is

LCM of Numerators i.e. for 243,248,589 is 1145016

GCF of denominators i.e. for 74,11,102 is 1.

Thus, LCM of Fractions is 1145016.Finally, LCM of Fractions for 243/74, 248/11, 589/102 is 1145016.