Least Common Multiple of 170/232, 174/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 170/232, 174/406 quickly i.e. 255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 170/232, 174/406 is 255.

LCM(170/232, 174/406) = 255

LCM of 170/232, 174/406

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 170/232,174/406

Given numbers are 170/232,174/406

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 170,174

Least Common Multiple of Numerators i.e. LCM of 170,174 is 14790.

GCF of Denominators means GCF of 232,406 as per the given fractions.

GCF of 232,406 is 58 as it is the largest common factor for these numbers.

Lets's calculate LCM of 170,174

LCM of Fractions 170/232,174/406 is 255

2 170, 174
85, 87

∴ So the LCM of the given numbers is 2 x 85 x 87 = 14790

Least Common Multiple of 170,174 with GCF Formula

Least Common Multiple of 170,174 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 170,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,174) = 2

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

GCF(170,174) x common factors =2 x 1 = 2

LCM(170,174) = ( 170 × 174 ) / 2

LCM(170,174) = 29580 / 2

LCM(170,174) = 14790


Lets's calculate GCF of 232,406

2 232, 406
29 116, 203
4, 7

∴ So the GCF of the given numbers is 2 x 29 = 58

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14790/58

Therefore the LCM of Fractions 170/232,174/406 is 255

Greatest Common Factor of 232,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,406 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 232,406 . The biggest common factor number is the GCF number.
So the greatest common factor 232,406 is 58.


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 170/232, 174/406

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 170/232, 174/406?

Answer: LCM of Numerators as per given numbers 170/232, 174/406 is

LCM of Numerators i.e. for 170,174 is 14790

GCF of denominators i.e. for 232,406 is 58.

Thus, LCM of Fractions is 255.Finally, LCM of Fractions for 170/232, 174/406 is 255.