Least Common Multiple of 91/40, 19/70, 221/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/40, 19/70, 221/349 quickly i.e. 29393 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/40, 19/70, 221/349 is 29393.

LCM(91/40, 19/70, 221/349) = 29393

LCM of 91/40, 19/70, 221/349

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 91/40,19/70,221/349

Given numbers are 91/40,19/70,221/349

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 91,19,221

Least Common Multiple of Numerators i.e. LCM of 91,19,221 is 29393.

GCF of Denominators means GCF of 40,70,349 as per the given fractions.

GCF of 40,70,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,19,221

LCM of Fractions 91/40,19/70,221/349 is 29393

13 91, 19, 221
7, 19, 17

∴ So the LCM of the given numbers is 13 x 7 x 19 x 17 = 29393

Least Common Multiple of 91,19,221 with GCF Formula

Least Common Multiple of 91,19,221 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 91,19,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,19,221) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(91,19,221) x common factors =1 x 13 = 13

LCM(91,19,221) = ( 91 × 19 × 221 ) / 13

LCM(91,19,221) = 382109 / 13

LCM(91,19,221) = 29393


Lets's calculate GCF of 40,70,349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29393/1

Therefore the LCM of Fractions 91/40,19/70,221/349 is 29393

Greatest Common Factor of 40,70,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,70,349 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 40,70,349 . The biggest common factor number is the GCF number.
So the greatest common factor 40,70,349 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 91/40, 19/70, 221/349

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 91/40, 19/70, 221/349?

Answer: LCM of Numerators as per given numbers 91/40, 19/70, 221/349 is

LCM of Numerators i.e. for 91,19,221 is 29393

GCF of denominators i.e. for 40,70,349 is 1.

Thus, LCM of Fractions is 29393.Finally, LCM of Fractions for 91/40, 19/70, 221/349 is 29393.