Least Common Multiple of 6975/450, 8153/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6975/450, 8153/173 quickly i.e. 1834425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6975/450, 8153/173 is 1834425.

LCM(6975/450, 8153/173) = 1834425

LCM of 6975/450, 8153/173

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 6975/450,8153/173

Given numbers are 6975/450,8153/173

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 6975,8153

Least Common Multiple of Numerators i.e. LCM of 6975,8153 is 1834425.

GCF of Denominators means GCF of 450,173 as per the given fractions.

GCF of 450,173 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6975,8153

LCM of Fractions 6975/450,8153/173 is 1834425

31 6975, 8153
225, 263

∴ So the LCM of the given numbers is 31 x 225 x 263 = 1834425

Least Common Multiple of 6975,8153 with GCF Formula

Least Common Multiple of 6975,8153 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 6975,8153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6975,8153) = 31

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

GCF(6975,8153) x common factors =31 x 1 = 31

LCM(6975,8153) = ( 6975 × 8153 ) / 31

LCM(6975,8153) = 56867175 / 31

LCM(6975,8153) = 1834425


Lets's calculate GCF of 450,173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1834425/1

Therefore the LCM of Fractions 6975/450,8153/173 is 1834425

Greatest Common Factor of 450,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,173 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 450,173 . The biggest common factor number is the GCF number.
So the greatest common factor 450,173 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 6975/450, 8153/173

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 6975/450, 8153/173?

Answer: LCM of Numerators as per given numbers 6975/450, 8153/173 is

LCM of Numerators i.e. for 6975,8153 is 1834425

GCF of denominators i.e. for 450,173 is 1.

Thus, LCM of Fractions is 1834425.Finally, LCM of Fractions for 6975/450, 8153/173 is 1834425.