Least Common Multiple of 7/144, 88/424, 75/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/144, 88/424, 75/408 quickly i.e. 5775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/144, 88/424, 75/408 is 5775.

LCM(7/144, 88/424, 75/408) = 5775

LCM of 7/144, 88/424, 75/408

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 7/144,88/424,75/408

Given numbers are 7/144,88/424,75/408

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 7,88,75

Least Common Multiple of Numerators i.e. LCM of 7,88,75 is 46200.

GCF of Denominators means GCF of 144,424,408 as per the given fractions.

GCF of 144,424,408 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,88,75

LCM of Fractions 7/144,88/424,75/408 is 5775

Given numbers has no common factors except 1. So, there LCM is their product i.e 46200

Least Common Multiple of 7,88,75 with GCF Formula

Least Common Multiple of 7,88,75 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 7,88,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,88,75) = 1

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

GCF(7,88,75) x common factors =1 x 1 = 1

LCM(7,88,75) = ( 7 × 88 × 75 ) / 1

LCM(7,88,75) = 46200 / 1

LCM(7,88,75) = 46200


Lets's calculate GCF of 144,424,408

2 144, 424, 408
2 72, 212, 204
2 36, 106, 102
18, 53, 51

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46200/8

Therefore the LCM of Fractions 7/144,88/424,75/408 is 5775

Greatest Common Factor of 144,424,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,424,408 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 144,424,408 . The biggest common factor number is the GCF number.
So the greatest common factor 144,424,408 is 8.


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 7/144, 88/424, 75/408

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 7/144, 88/424, 75/408?

Answer: LCM of Numerators as per given numbers 7/144, 88/424, 75/408 is

LCM of Numerators i.e. for 7,88,75 is 46200

GCF of denominators i.e. for 144,424,408 is 8.

Thus, LCM of Fractions is 5775.Finally, LCM of Fractions for 7/144, 88/424, 75/408 is 5775.