Least Common Multiple of 17/191, 29/764, 740/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/191, 29/764, 740/350 quickly i.e. 364820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/191, 29/764, 740/350 is 364820.

LCM(17/191, 29/764, 740/350) = 364820

LCM of 17/191, 29/764, 740/350

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 17/191,29/764,740/350

Given numbers are 17/191,29/764,740/350

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 17,29,740

Least Common Multiple of Numerators i.e. LCM of 17,29,740 is 364820.

GCF of Denominators means GCF of 191,764,350 as per the given fractions.

GCF of 191,764,350 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,29,740

LCM of Fractions 17/191,29/764,740/350 is 364820

Given numbers has no common factors except 1. So, there LCM is their product i.e 364820

Least Common Multiple of 17,29,740 with GCF Formula

Least Common Multiple of 17,29,740 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 17,29,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,29,740) = 1

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

GCF(17,29,740) x common factors =1 x 1 = 1

LCM(17,29,740) = ( 17 × 29 × 740 ) / 1

LCM(17,29,740) = 364820 / 1

LCM(17,29,740) = 364820


Lets's calculate GCF of 191,764,350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 364820/1

Therefore the LCM of Fractions 17/191,29/764,740/350 is 364820

Greatest Common Factor of 191,764,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 191,764,350 By Matching Biggest Common Factor Method

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 191,764,350 . The biggest common factor number is the GCF number.
So the greatest common factor 191,764,350 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 17/191, 29/764, 740/350

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 17/191, 29/764, 740/350?

Answer: LCM of Numerators as per given numbers 17/191, 29/764, 740/350 is

LCM of Numerators i.e. for 17,29,740 is 364820

GCF of denominators i.e. for 191,764,350 is 1.

Thus, LCM of Fractions is 364820.Finally, LCM of Fractions for 17/191, 29/764, 740/350 is 364820.