Least Common Multiple of 47/75, 257/88, 432/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/75, 257/88, 432/423 quickly i.e. 5218128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/75, 257/88, 432/423 is 5218128.

LCM(47/75, 257/88, 432/423) = 5218128

LCM of 47/75, 257/88, 432/423

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 47/75,257/88,432/423

Given numbers are 47/75,257/88,432/423

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 47,257,432

Least Common Multiple of Numerators i.e. LCM of 47,257,432 is 5218128.

GCF of Denominators means GCF of 75,88,423 as per the given fractions.

GCF of 75,88,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,257,432

LCM of Fractions 47/75,257/88,432/423 is 5218128

Given numbers has no common factors except 1. So, there LCM is their product i.e 5218128

Least Common Multiple of 47,257,432 with GCF Formula

Least Common Multiple of 47,257,432 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 47,257,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,257,432) = 1

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

GCF(47,257,432) x common factors =1 x 1 = 1

LCM(47,257,432) = ( 47 × 257 × 432 ) / 1

LCM(47,257,432) = 5218128 / 1

LCM(47,257,432) = 5218128


Lets's calculate GCF of 75,88,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5218128/1

Therefore the LCM of Fractions 47/75,257/88,432/423 is 5218128

Greatest Common Factor of 75,88,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,88,423 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 75,88,423 . The biggest common factor number is the GCF number.
So the greatest common factor 75,88,423 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 47/75, 257/88, 432/423

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 47/75, 257/88, 432/423?

Answer: LCM of Numerators as per given numbers 47/75, 257/88, 432/423 is

LCM of Numerators i.e. for 47,257,432 is 5218128

GCF of denominators i.e. for 75,88,423 is 1.

Thus, LCM of Fractions is 5218128.Finally, LCM of Fractions for 47/75, 257/88, 432/423 is 5218128.