Least Common Multiple of 84/55, 53/65, 90/50, 75/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/55, 53/65, 90/50, 75/728 quickly i.e. 333900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/55, 53/65, 90/50, 75/728 is 333900.

LCM(84/55, 53/65, 90/50, 75/728) = 333900

LCM of 84/55, 53/65, 90/50, 75/728

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 84/55,53/65,90/50,75/728

Given numbers are 84/55,53/65,90/50,75/728

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 84,53,90,75

Least Common Multiple of Numerators i.e. LCM of 84,53,90,75 is 333900.

GCF of Denominators means GCF of 55,65,50,728 as per the given fractions.

GCF of 55,65,50,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,53,90,75

LCM of Fractions 84/55,53/65,90/50,75/728 is 333900

2 84, 53, 90, 75
3 42, 53, 45, 75
5 14, 53, 15, 25
14, 53, 3, 5

∴ So the LCM of the given numbers is 2 x 3 x 5 x 14 x 53 x 3 x 5 = 333900

Least Common Multiple of 84,53,90,75 with GCF Formula

Least Common Multiple of 84,53,90,75 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 84,53,90,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,53,90,75) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(84,53,90,75) x common factors =1 x 90 = 90

LCM(84,53,90,75) = ( 84 × 53 × 90 × 75 ) / 90

LCM(84,53,90,75) = 30051000 / 90

LCM(84,53,90,75) = 333900


Lets's calculate GCF of 55,65,50,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 333900/1

Therefore the LCM of Fractions 84/55,53/65,90/50,75/728 is 333900

Greatest Common Factor of 55,65,50,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,65,50,728 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 55,65,50,728 . The biggest common factor number is the GCF number.
So the greatest common factor 55,65,50,728 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 84/55, 53/65, 90/50, 75/728

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 84/55, 53/65, 90/50, 75/728?

Answer: LCM of Numerators as per given numbers 84/55, 53/65, 90/50, 75/728 is

LCM of Numerators i.e. for 84,53,90,75 is 333900

GCF of denominators i.e. for 55,65,50,728 is 1.

Thus, LCM of Fractions is 333900.Finally, LCM of Fractions for 84/55, 53/65, 90/50, 75/728 is 333900.