Least Common Multiple of 382/434, 364/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 382/434, 364/170 quickly i.e. 34762 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/434, 364/170 is 34762.

LCM(382/434, 364/170) = 34762

LCM of 382/434, 364/170

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 382/434,364/170

Given numbers are 382/434,364/170

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 382,364

Least Common Multiple of Numerators i.e. LCM of 382,364 is 69524.

GCF of Denominators means GCF of 434,170 as per the given fractions.

GCF of 434,170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,364

LCM of Fractions 382/434,364/170 is 34762

2 382, 364
191, 182

∴ So the LCM of the given numbers is 2 x 191 x 182 = 69524

Least Common Multiple of 382,364 with GCF Formula

Least Common Multiple of 382,364 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 382,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,364) = 2

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

GCF(382,364) x common factors =2 x 1 = 2

LCM(382,364) = ( 382 × 364 ) / 2

LCM(382,364) = 139048 / 2

LCM(382,364) = 69524


Lets's calculate GCF of 434,170

2 434, 170
217, 85

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69524/2

Therefore the LCM of Fractions 382/434,364/170 is 34762

Greatest Common Factor of 434,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,170 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 434,170 . The biggest common factor number is the GCF number.
So the greatest common factor 434,170 is 2.


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 382/434, 364/170

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 382/434, 364/170?

Answer: LCM of Numerators as per given numbers 382/434, 364/170 is

LCM of Numerators i.e. for 382,364 is 69524

GCF of denominators i.e. for 434,170 is 2.

Thus, LCM of Fractions is 34762.Finally, LCM of Fractions for 382/434, 364/170 is 34762.