Least Common Multiple of 382/417, 519/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 382/417, 519/278 quickly i.e. 198258/139 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/417, 519/278 is 198258/139.

LCM(382/417, 519/278) = 198258/139

LCM of 382/417, 519/278

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 382/417,519/278

Given numbers are 382/417,519/278

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 382,519

Least Common Multiple of Numerators i.e. LCM of 382,519 is 198258.

GCF of Denominators means GCF of 417,278 as per the given fractions.

GCF of 417,278 is 139 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,519

LCM of Fractions 382/417,519/278 is 198258/139

Given numbers has no common factors except 1. So, there LCM is their product i.e 198258

Least Common Multiple of 382,519 with GCF Formula

Least Common Multiple of 382,519 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 382,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,519) = 1

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

GCF(382,519) x common factors =1 x 1 = 1

LCM(382,519) = ( 382 × 519 ) / 1

LCM(382,519) = 198258 / 1

LCM(382,519) = 198258


Lets's calculate GCF of 417,278

139 417, 278
3, 2

∴ So the GCF of the given numbers is 139 = 139

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198258/139

Therefore the LCM of Fractions 382/417,519/278 is 198258/139

Greatest Common Factor of 417,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,278 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 417,278 . The biggest common factor number is the GCF number.
So the greatest common factor 417,278 is 139.


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 382/417, 519/278

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 382/417, 519/278?

Answer: LCM of Numerators as per given numbers 382/417, 519/278 is

LCM of Numerators i.e. for 382,519 is 198258

GCF of denominators i.e. for 417,278 is 139.

Thus, LCM of Fractions is 198258/139.Finally, LCM of Fractions for 382/417, 519/278 is 198258/139.