Least Common Multiple of 20/36, 404/29, 688/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/36, 404/29, 688/958 quickly i.e. 347440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/36, 404/29, 688/958 is 347440.

LCM(20/36, 404/29, 688/958) = 347440

LCM of 20/36, 404/29, 688/958

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 20/36,404/29,688/958

Given numbers are 20/36,404/29,688/958

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 20,404,688

Least Common Multiple of Numerators i.e. LCM of 20,404,688 is 347440.

GCF of Denominators means GCF of 36,29,958 as per the given fractions.

GCF of 36,29,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,404,688

LCM of Fractions 20/36,404/29,688/958 is 347440

2 20, 404, 688
2 10, 202, 344
5, 101, 172

∴ So the LCM of the given numbers is 2 x 2 x 5 x 101 x 172 = 347440

Least Common Multiple of 20,404,688 with GCF Formula

Least Common Multiple of 20,404,688 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 20,404,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,404,688) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(20,404,688) x common factors =4 x 4 = 16

LCM(20,404,688) = ( 20 × 404 × 688 ) / 16

LCM(20,404,688) = 5559040 / 16

LCM(20,404,688) = 347440


Lets's calculate GCF of 36,29,958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347440/1

Therefore the LCM of Fractions 20/36,404/29,688/958 is 347440

Greatest Common Factor of 36,29,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,29,958 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 36,29,958 . The biggest common factor number is the GCF number.
So the greatest common factor 36,29,958 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/36, 404/29, 688/958

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 20/36, 404/29, 688/958?

Answer: LCM of Numerators as per given numbers 20/36, 404/29, 688/958 is

LCM of Numerators i.e. for 20,404,688 is 347440

GCF of denominators i.e. for 36,29,958 is 1.

Thus, LCM of Fractions is 347440.Finally, LCM of Fractions for 20/36, 404/29, 688/958 is 347440.