Least Common Multiple of 609/49, 816/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 609/49, 816/978 quickly i.e. 165648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 609/49, 816/978 is 165648.

LCM(609/49, 816/978) = 165648

LCM of 609/49, 816/978

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 609/49,816/978

Given numbers are 609/49,816/978

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 609,816

Least Common Multiple of Numerators i.e. LCM of 609,816 is 165648.

GCF of Denominators means GCF of 49,978 as per the given fractions.

GCF of 49,978 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 609,816

LCM of Fractions 609/49,816/978 is 165648

3 609, 816
203, 272

∴ So the LCM of the given numbers is 3 x 203 x 272 = 165648

Least Common Multiple of 609,816 with GCF Formula

Least Common Multiple of 609,816 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 609,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(609,816) = 3

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

GCF(609,816) x common factors =3 x 1 = 3

LCM(609,816) = ( 609 × 816 ) / 3

LCM(609,816) = 496944 / 3

LCM(609,816) = 165648


Lets's calculate GCF of 49,978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165648/1

Therefore the LCM of Fractions 609/49,816/978 is 165648

Greatest Common Factor of 49,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,978 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 49,978 . The biggest common factor number is the GCF number.
So the greatest common factor 49,978 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 609/49, 816/978

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 609/49, 816/978?

Answer: LCM of Numerators as per given numbers 609/49, 816/978 is

LCM of Numerators i.e. for 609,816 is 165648

GCF of denominators i.e. for 49,978 is 1.

Thus, LCM of Fractions is 165648.Finally, LCM of Fractions for 609/49, 816/978 is 165648.