Least Common Multiple of 138/241, 3545/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/241, 3545/216 quickly i.e. 489210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/241, 3545/216 is 489210.

LCM(138/241, 3545/216) = 489210

LCM of 138/241, 3545/216

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 138/241,3545/216

Given numbers are 138/241,3545/216

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 138,3545

Least Common Multiple of Numerators i.e. LCM of 138,3545 is 489210.

GCF of Denominators means GCF of 241,216 as per the given fractions.

GCF of 241,216 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,3545

LCM of Fractions 138/241,3545/216 is 489210

Given numbers has no common factors except 1. So, there LCM is their product i.e 489210

Least Common Multiple of 138,3545 with GCF Formula

Least Common Multiple of 138,3545 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 138,3545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,3545) = 1

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

GCF(138,3545) x common factors =1 x 1 = 1

LCM(138,3545) = ( 138 × 3545 ) / 1

LCM(138,3545) = 489210 / 1

LCM(138,3545) = 489210


Lets's calculate GCF of 241,216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 489210/1

Therefore the LCM of Fractions 138/241,3545/216 is 489210

Greatest Common Factor of 241,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 241,216 By Matching Biggest Common Factor Method

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 241,216 . The biggest common factor number is the GCF number.
So the greatest common factor 241,216 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 138/241, 3545/216

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 138/241, 3545/216?

Answer: LCM of Numerators as per given numbers 138/241, 3545/216 is

LCM of Numerators i.e. for 138,3545 is 489210

GCF of denominators i.e. for 241,216 is 1.

Thus, LCM of Fractions is 489210.Finally, LCM of Fractions for 138/241, 3545/216 is 489210.