Least Common Multiple of 75/461, 2003/6177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/461, 2003/6177 quickly i.e. 150225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/461, 2003/6177 is 150225.

LCM(75/461, 2003/6177) = 150225

LCM of 75/461, 2003/6177

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 75/461,2003/6177

Given numbers are 75/461,2003/6177

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 75,2003

Least Common Multiple of Numerators i.e. LCM of 75,2003 is 150225.

GCF of Denominators means GCF of 461,6177 as per the given fractions.

GCF of 461,6177 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,2003

LCM of Fractions 75/461,2003/6177 is 150225

Given numbers has no common factors except 1. So, there LCM is their product i.e 150225

Least Common Multiple of 75,2003 with GCF Formula

Least Common Multiple of 75,2003 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 75,2003 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,2003) = 1

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

GCF(75,2003) x common factors =1 x 1 = 1

LCM(75,2003) = ( 75 × 2003 ) / 1

LCM(75,2003) = 150225 / 1

LCM(75,2003) = 150225


Lets's calculate GCF of 461,6177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150225/1

Therefore the LCM of Fractions 75/461,2003/6177 is 150225

Greatest Common Factor of 461,6177 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,6177 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 6177

List of positive integer factors of 6177 that divides 6177 without a remainder.

1,3,29,71,87,213,2059,6177

Greatest Common Factor

We found the factors 461,6177 . The biggest common factor number is the GCF number.
So the greatest common factor 461,6177 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 75/461, 2003/6177

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 75/461, 2003/6177?

Answer: LCM of Numerators as per given numbers 75/461, 2003/6177 is

LCM of Numerators i.e. for 75,2003 is 150225

GCF of denominators i.e. for 461,6177 is 1.

Thus, LCM of Fractions is 150225.Finally, LCM of Fractions for 75/461, 2003/6177 is 150225.