Least Common Multiple of 170/38, 482/2119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 170/38, 482/2119 quickly i.e. 40970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 170/38, 482/2119 is 40970.

LCM(170/38, 482/2119) = 40970

LCM of 170/38, 482/2119

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 170/38,482/2119

Given numbers are 170/38,482/2119

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 170,482

Least Common Multiple of Numerators i.e. LCM of 170,482 is 40970.

GCF of Denominators means GCF of 38,2119 as per the given fractions.

GCF of 38,2119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 170,482

LCM of Fractions 170/38,482/2119 is 40970

2 170, 482
85, 241

∴ So the LCM of the given numbers is 2 x 85 x 241 = 40970

Least Common Multiple of 170,482 with GCF Formula

Least Common Multiple of 170,482 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 170,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,482) = 2

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

GCF(170,482) x common factors =2 x 1 = 2

LCM(170,482) = ( 170 × 482 ) / 2

LCM(170,482) = 81940 / 2

LCM(170,482) = 40970


Lets's calculate GCF of 38,2119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40970/1

Therefore the LCM of Fractions 170/38,482/2119 is 40970

Greatest Common Factor of 38,2119 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,2119 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 2119

List of positive integer factors of 2119 that divides 2119 without a remainder.

1,13,163,2119

Greatest Common Factor

We found the factors 38,2119 . The biggest common factor number is the GCF number.
So the greatest common factor 38,2119 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 170/38, 482/2119

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 170/38, 482/2119?

Answer: LCM of Numerators as per given numbers 170/38, 482/2119 is

LCM of Numerators i.e. for 170,482 is 40970

GCF of denominators i.e. for 38,2119 is 1.

Thus, LCM of Fractions is 40970.Finally, LCM of Fractions for 170/38, 482/2119 is 40970.