Least Common Multiple of 19/491, 25/586, 149/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/491, 25/586, 149/351 quickly i.e. 70775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/491, 25/586, 149/351 is 70775.

LCM(19/491, 25/586, 149/351) = 70775

LCM of 19/491, 25/586, 149/351

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 19/491,25/586,149/351

Given numbers are 19/491,25/586,149/351

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 19,25,149

Least Common Multiple of Numerators i.e. LCM of 19,25,149 is 70775.

GCF of Denominators means GCF of 491,586,351 as per the given fractions.

GCF of 491,586,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,25,149

LCM of Fractions 19/491,25/586,149/351 is 70775

Given numbers has no common factors except 1. So, there LCM is their product i.e 70775

Least Common Multiple of 19,25,149 with GCF Formula

Least Common Multiple of 19,25,149 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 19,25,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,25,149) = 1

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

GCF(19,25,149) x common factors =1 x 1 = 1

LCM(19,25,149) = ( 19 × 25 × 149 ) / 1

LCM(19,25,149) = 70775 / 1

LCM(19,25,149) = 70775


Lets's calculate GCF of 491,586,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70775/1

Therefore the LCM of Fractions 19/491,25/586,149/351 is 70775

Greatest Common Factor of 491,586,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,586,351 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 491,586,351 . The biggest common factor number is the GCF number.
So the greatest common factor 491,586,351 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 19/491, 25/586, 149/351

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 19/491, 25/586, 149/351?

Answer: LCM of Numerators as per given numbers 19/491, 25/586, 149/351 is

LCM of Numerators i.e. for 19,25,149 is 70775

GCF of denominators i.e. for 491,586,351 is 1.

Thus, LCM of Fractions is 70775.Finally, LCM of Fractions for 19/491, 25/586, 149/351 is 70775.