Least Common Multiple of 5/719, 71/521, 67/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/719, 71/521, 67/619 quickly i.e. 23785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/719, 71/521, 67/619 is 23785.

LCM(5/719, 71/521, 67/619) = 23785

LCM of 5/719, 71/521, 67/619

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 5/719,71/521,67/619

Given numbers are 5/719,71/521,67/619

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 5,71,67

Least Common Multiple of Numerators i.e. LCM of 5,71,67 is 23785.

GCF of Denominators means GCF of 719,521,619 as per the given fractions.

GCF of 719,521,619 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,71,67

LCM of Fractions 5/719,71/521,67/619 is 23785

Given numbers has no common factors except 1. So, there LCM is their product i.e 23785

Least Common Multiple of 5,71,67 with GCF Formula

Least Common Multiple of 5,71,67 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 5,71,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,71,67) = 1

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

GCF(5,71,67) x common factors =1 x 1 = 1

LCM(5,71,67) = ( 5 × 71 × 67 ) / 1

LCM(5,71,67) = 23785 / 1

LCM(5,71,67) = 23785


Lets's calculate GCF of 719,521,619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23785/1

Therefore the LCM of Fractions 5/719,71/521,67/619 is 23785

Greatest Common Factor of 719,521,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,521,619 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 719,521,619 . The biggest common factor number is the GCF number.
So the greatest common factor 719,521,619 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 5/719, 71/521, 67/619

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 5/719, 71/521, 67/619?

Answer: LCM of Numerators as per given numbers 5/719, 71/521, 67/619 is

LCM of Numerators i.e. for 5,71,67 is 23785

GCF of denominators i.e. for 719,521,619 is 1.

Thus, LCM of Fractions is 23785.Finally, LCM of Fractions for 5/719, 71/521, 67/619 is 23785.