Least Common Multiple of 149/19, 523/1063

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/19, 523/1063 quickly i.e. 77927 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/19, 523/1063 is 77927.

LCM(149/19, 523/1063) = 77927

LCM of 149/19, 523/1063

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 149/19,523/1063

Given numbers are 149/19,523/1063

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 149,523

Least Common Multiple of Numerators i.e. LCM of 149,523 is 77927.

GCF of Denominators means GCF of 19,1063 as per the given fractions.

GCF of 19,1063 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,523

LCM of Fractions 149/19,523/1063 is 77927

Given numbers has no common factors except 1. So, there LCM is their product i.e 77927

Least Common Multiple of 149,523 with GCF Formula

Least Common Multiple of 149,523 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 149,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,523) = 1

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

GCF(149,523) x common factors =1 x 1 = 1

LCM(149,523) = ( 149 × 523 ) / 1

LCM(149,523) = 77927 / 1

LCM(149,523) = 77927


Lets's calculate GCF of 19,1063

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77927/1

Therefore the LCM of Fractions 149/19,523/1063 is 77927

Greatest Common Factor of 19,1063 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,1063 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 1063

List of positive integer factors of 1063 that divides 1063 without a remainder.

1,1063

Greatest Common Factor

We found the factors 19,1063 . The biggest common factor number is the GCF number.
So the greatest common factor 19,1063 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 149/19, 523/1063

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 149/19, 523/1063?

Answer: LCM of Numerators as per given numbers 149/19, 523/1063 is

LCM of Numerators i.e. for 149,523 is 77927

GCF of denominators i.e. for 19,1063 is 1.

Thus, LCM of Fractions is 77927.Finally, LCM of Fractions for 149/19, 523/1063 is 77927.