Least Common Multiple of 20/714, 26/153, 719/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/714, 26/153, 719/592 quickly i.e. 186940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/714, 26/153, 719/592 is 186940.

LCM(20/714, 26/153, 719/592) = 186940

LCM of 20/714, 26/153, 719/592

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 20/714,26/153,719/592

Given numbers are 20/714,26/153,719/592

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 20,26,719

Least Common Multiple of Numerators i.e. LCM of 20,26,719 is 186940.

GCF of Denominators means GCF of 714,153,592 as per the given fractions.

GCF of 714,153,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,26,719

LCM of Fractions 20/714,26/153,719/592 is 186940

2 20, 26, 719
10, 13, 719

∴ So the LCM of the given numbers is 2 x 10 x 13 x 719 = 186940

Least Common Multiple of 20,26,719 with GCF Formula

Least Common Multiple of 20,26,719 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 20,26,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,26,719) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,26,719) x common factors =1 x 2 = 2

LCM(20,26,719) = ( 20 × 26 × 719 ) / 2

LCM(20,26,719) = 373880 / 2

LCM(20,26,719) = 186940


Lets's calculate GCF of 714,153,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186940/1

Therefore the LCM of Fractions 20/714,26/153,719/592 is 186940

Greatest Common Factor of 714,153,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,153,592 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 714,153,592 . The biggest common factor number is the GCF number.
So the greatest common factor 714,153,592 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 20/714, 26/153, 719/592

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 20/714, 26/153, 719/592?

Answer: LCM of Numerators as per given numbers 20/714, 26/153, 719/592 is

LCM of Numerators i.e. for 20,26,719 is 186940

GCF of denominators i.e. for 714,153,592 is 1.

Thus, LCM of Fractions is 186940.Finally, LCM of Fractions for 20/714, 26/153, 719/592 is 186940.