Least Common Multiple of 149/564, 337/769, 384/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/564, 337/769, 384/665 quickly i.e. 19281792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/564, 337/769, 384/665 is 19281792.

LCM(149/564, 337/769, 384/665) = 19281792

LCM of 149/564, 337/769, 384/665

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 149/564,337/769,384/665

Given numbers are 149/564,337/769,384/665

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 149,337,384

Least Common Multiple of Numerators i.e. LCM of 149,337,384 is 19281792.

GCF of Denominators means GCF of 564,769,665 as per the given fractions.

GCF of 564,769,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,337,384

LCM of Fractions 149/564,337/769,384/665 is 19281792

Given numbers has no common factors except 1. So, there LCM is their product i.e 19281792

Least Common Multiple of 149,337,384 with GCF Formula

Least Common Multiple of 149,337,384 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 149,337,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,337,384) = 1

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

GCF(149,337,384) x common factors =1 x 1 = 1

LCM(149,337,384) = ( 149 × 337 × 384 ) / 1

LCM(149,337,384) = 19281792 / 1

LCM(149,337,384) = 19281792


Lets's calculate GCF of 564,769,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19281792/1

Therefore the LCM of Fractions 149/564,337/769,384/665 is 19281792

Greatest Common Factor of 564,769,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,769,665 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 564,769,665 . The biggest common factor number is the GCF number.
So the greatest common factor 564,769,665 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 149/564, 337/769, 384/665

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 149/564, 337/769, 384/665?

Answer: LCM of Numerators as per given numbers 149/564, 337/769, 384/665 is

LCM of Numerators i.e. for 149,337,384 is 19281792

GCF of denominators i.e. for 564,769,665 is 1.

Thus, LCM of Fractions is 19281792.Finally, LCM of Fractions for 149/564, 337/769, 384/665 is 19281792.