Least Common Multiple of 698/173, 575/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/173, 575/143 quickly i.e. 401350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/173, 575/143 is 401350.

LCM(698/173, 575/143) = 401350

LCM of 698/173, 575/143

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 698/173,575/143

Given numbers are 698/173,575/143

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 698,575

Least Common Multiple of Numerators i.e. LCM of 698,575 is 401350.

GCF of Denominators means GCF of 173,143 as per the given fractions.

GCF of 173,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,575

LCM of Fractions 698/173,575/143 is 401350

Given numbers has no common factors except 1. So, there LCM is their product i.e 401350

Least Common Multiple of 698,575 with GCF Formula

Least Common Multiple of 698,575 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 698,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,575) = 1

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

GCF(698,575) x common factors =1 x 1 = 1

LCM(698,575) = ( 698 × 575 ) / 1

LCM(698,575) = 401350 / 1

LCM(698,575) = 401350


Lets's calculate GCF of 173,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 401350/1

Therefore the LCM of Fractions 698/173,575/143 is 401350

Greatest Common Factor of 173,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,143 By Matching Biggest Common Factor Method

Factors of 173

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

1,173

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 173,143 . The biggest common factor number is the GCF number.
So the greatest common factor 173,143 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 698/173, 575/143

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 698/173, 575/143?

Answer: LCM of Numerators as per given numbers 698/173, 575/143 is

LCM of Numerators i.e. for 698,575 is 401350

GCF of denominators i.e. for 173,143 is 1.

Thus, LCM of Fractions is 401350.Finally, LCM of Fractions for 698/173, 575/143 is 401350.