Least Common Multiple of 19/251, 96/839, 341/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/251, 96/839, 341/711 quickly i.e. 621984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/251, 96/839, 341/711 is 621984.

LCM(19/251, 96/839, 341/711) = 621984

LCM of 19/251, 96/839, 341/711

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 19/251,96/839,341/711

Given numbers are 19/251,96/839,341/711

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 19,96,341

Least Common Multiple of Numerators i.e. LCM of 19,96,341 is 621984.

GCF of Denominators means GCF of 251,839,711 as per the given fractions.

GCF of 251,839,711 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,96,341

LCM of Fractions 19/251,96/839,341/711 is 621984

Given numbers has no common factors except 1. So, there LCM is their product i.e 621984

Least Common Multiple of 19,96,341 with GCF Formula

Least Common Multiple of 19,96,341 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 19,96,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,96,341) = 1

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

GCF(19,96,341) x common factors =1 x 1 = 1

LCM(19,96,341) = ( 19 × 96 × 341 ) / 1

LCM(19,96,341) = 621984 / 1

LCM(19,96,341) = 621984


Lets's calculate GCF of 251,839,711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 621984/1

Therefore the LCM of Fractions 19/251,96/839,341/711 is 621984

Greatest Common Factor of 251,839,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 251,839,711 By Matching Biggest Common Factor Method

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 251,839,711 . The biggest common factor number is the GCF number.
So the greatest common factor 251,839,711 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 19/251, 96/839, 341/711

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 19/251, 96/839, 341/711?

Answer: LCM of Numerators as per given numbers 19/251, 96/839, 341/711 is

LCM of Numerators i.e. for 19,96,341 is 621984

GCF of denominators i.e. for 251,839,711 is 1.

Thus, LCM of Fractions is 621984.Finally, LCM of Fractions for 19/251, 96/839, 341/711 is 621984.