Least Common Multiple of 33/189, 656/740, 731/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/189, 656/740, 731/337 quickly i.e. 15824688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/189, 656/740, 731/337 is 15824688.

LCM(33/189, 656/740, 731/337) = 15824688

LCM of 33/189, 656/740, 731/337

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 33/189,656/740,731/337

Given numbers are 33/189,656/740,731/337

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 33,656,731

Least Common Multiple of Numerators i.e. LCM of 33,656,731 is 15824688.

GCF of Denominators means GCF of 189,740,337 as per the given fractions.

GCF of 189,740,337 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,656,731

LCM of Fractions 33/189,656/740,731/337 is 15824688

Given numbers has no common factors except 1. So, there LCM is their product i.e 15824688

Least Common Multiple of 33,656,731 with GCF Formula

Least Common Multiple of 33,656,731 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 33,656,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,656,731) = 1

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

GCF(33,656,731) x common factors =1 x 1 = 1

LCM(33,656,731) = ( 33 × 656 × 731 ) / 1

LCM(33,656,731) = 15824688 / 1

LCM(33,656,731) = 15824688


Lets's calculate GCF of 189,740,337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15824688/1

Therefore the LCM of Fractions 33/189,656/740,731/337 is 15824688

Greatest Common Factor of 189,740,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,740,337 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Greatest Common Factor

We found the factors 189,740,337 . The biggest common factor number is the GCF number.
So the greatest common factor 189,740,337 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 33/189, 656/740, 731/337

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 33/189, 656/740, 731/337?

Answer: LCM of Numerators as per given numbers 33/189, 656/740, 731/337 is

LCM of Numerators i.e. for 33,656,731 is 15824688

GCF of denominators i.e. for 189,740,337 is 1.

Thus, LCM of Fractions is 15824688.Finally, LCM of Fractions for 33/189, 656/740, 731/337 is 15824688.