Least Common Multiple of 55/73, 210/64, 418/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/73, 210/64, 418/240 quickly i.e. 43890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/73, 210/64, 418/240 is 43890.

LCM(55/73, 210/64, 418/240) = 43890

LCM of 55/73, 210/64, 418/240

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 55/73,210/64,418/240

Given numbers are 55/73,210/64,418/240

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 55,210,418

Least Common Multiple of Numerators i.e. LCM of 55,210,418 is 43890.

GCF of Denominators means GCF of 73,64,240 as per the given fractions.

GCF of 73,64,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,210,418

LCM of Fractions 55/73,210/64,418/240 is 43890

2 55, 210, 418
5 55, 105, 209
11 11, 21, 209
1, 21, 19

∴ So the LCM of the given numbers is 2 x 5 x 11 x 1 x 21 x 19 = 43890

Least Common Multiple of 55,210,418 with GCF Formula

Least Common Multiple of 55,210,418 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 55,210,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,210,418) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(55,210,418) x common factors =1 x 110 = 110

LCM(55,210,418) = ( 55 × 210 × 418 ) / 110

LCM(55,210,418) = 4827900 / 110

LCM(55,210,418) = 43890


Lets's calculate GCF of 73,64,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43890/1

Therefore the LCM of Fractions 55/73,210/64,418/240 is 43890

Greatest Common Factor of 73,64,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,64,240 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 73,64,240 . The biggest common factor number is the GCF number.
So the greatest common factor 73,64,240 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 55/73, 210/64, 418/240

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 55/73, 210/64, 418/240?

Answer: LCM of Numerators as per given numbers 55/73, 210/64, 418/240 is

LCM of Numerators i.e. for 55,210,418 is 43890

GCF of denominators i.e. for 73,64,240 is 1.

Thus, LCM of Fractions is 43890.Finally, LCM of Fractions for 55/73, 210/64, 418/240 is 43890.