Least Common Multiple of 149/819, 178/113, 389/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/819, 178/113, 389/839 quickly i.e. 10317058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/819, 178/113, 389/839 is 10317058.

LCM(149/819, 178/113, 389/839) = 10317058

LCM of 149/819, 178/113, 389/839

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 149/819,178/113,389/839

Given numbers are 149/819,178/113,389/839

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 149,178,389

Least Common Multiple of Numerators i.e. LCM of 149,178,389 is 10317058.

GCF of Denominators means GCF of 819,113,839 as per the given fractions.

GCF of 819,113,839 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,178,389

LCM of Fractions 149/819,178/113,389/839 is 10317058

Given numbers has no common factors except 1. So, there LCM is their product i.e 10317058

Least Common Multiple of 149,178,389 with GCF Formula

Least Common Multiple of 149,178,389 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 149,178,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,178,389) = 1

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

GCF(149,178,389) x common factors =1 x 1 = 1

LCM(149,178,389) = ( 149 × 178 × 389 ) / 1

LCM(149,178,389) = 10317058 / 1

LCM(149,178,389) = 10317058


Lets's calculate GCF of 819,113,839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10317058/1

Therefore the LCM of Fractions 149/819,178/113,389/839 is 10317058

Greatest Common Factor of 819,113,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,113,839 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 819,113,839 . The biggest common factor number is the GCF number.
So the greatest common factor 819,113,839 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 149/819, 178/113, 389/839

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 149/819, 178/113, 389/839?

Answer: LCM of Numerators as per given numbers 149/819, 178/113, 389/839 is

LCM of Numerators i.e. for 149,178,389 is 10317058

GCF of denominators i.e. for 819,113,839 is 1.

Thus, LCM of Fractions is 10317058.Finally, LCM of Fractions for 149/819, 178/113, 389/839 is 10317058.