Least Common Multiple of 344/474, 425/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 344/474, 425/173 quickly i.e. 146200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/474, 425/173 is 146200.

LCM(344/474, 425/173) = 146200

LCM of 344/474, 425/173

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 344/474,425/173

Given numbers are 344/474,425/173

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 344,425

Least Common Multiple of Numerators i.e. LCM of 344,425 is 146200.

GCF of Denominators means GCF of 474,173 as per the given fractions.

GCF of 474,173 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,425

LCM of Fractions 344/474,425/173 is 146200

Given numbers has no common factors except 1. So, there LCM is their product i.e 146200

Least Common Multiple of 344,425 with GCF Formula

Least Common Multiple of 344,425 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 344,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,425) = 1

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

GCF(344,425) x common factors =1 x 1 = 1

LCM(344,425) = ( 344 × 425 ) / 1

LCM(344,425) = 146200 / 1

LCM(344,425) = 146200


Lets's calculate GCF of 474,173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146200/1

Therefore the LCM of Fractions 344/474,425/173 is 146200

Greatest Common Factor of 474,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,173 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

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 474,173 . The biggest common factor number is the GCF number.
So the greatest common factor 474,173 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 344/474, 425/173

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 344/474, 425/173?

Answer: LCM of Numerators as per given numbers 344/474, 425/173 is

LCM of Numerators i.e. for 344,425 is 146200

GCF of denominators i.e. for 474,173 is 1.

Thus, LCM of Fractions is 146200.Finally, LCM of Fractions for 344/474, 425/173 is 146200.