Least Common Multiple of 984/590, 1649/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 984/590, 1649/354 quickly i.e. 1622616/118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/590, 1649/354 is 1622616/118.

LCM(984/590, 1649/354) = 1622616/118

LCM of 984/590, 1649/354

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 984/590,1649/354

Given numbers are 984/590,1649/354

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 984,1649

Least Common Multiple of Numerators i.e. LCM of 984,1649 is 1622616.

GCF of Denominators means GCF of 590,354 as per the given fractions.

GCF of 590,354 is 118 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,1649

LCM of Fractions 984/590,1649/354 is 1622616/118

Given numbers has no common factors except 1. So, there LCM is their product i.e 1622616

Least Common Multiple of 984,1649 with GCF Formula

Least Common Multiple of 984,1649 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 984,1649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,1649) = 1

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

GCF(984,1649) x common factors =1 x 1 = 1

LCM(984,1649) = ( 984 × 1649 ) / 1

LCM(984,1649) = 1622616 / 1

LCM(984,1649) = 1622616


Lets's calculate GCF of 590,354

2 590, 354
59 295, 177
5, 3

∴ So the GCF of the given numbers is 2 x 59 = 118

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1622616/118

Therefore the LCM of Fractions 984/590,1649/354 is 1622616/118

Greatest Common Factor of 590,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,354 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 590,354 . The biggest common factor number is the GCF number.
So the greatest common factor 590,354 is 118.


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 984/590, 1649/354

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 984/590, 1649/354?

Answer: LCM of Numerators as per given numbers 984/590, 1649/354 is

LCM of Numerators i.e. for 984,1649 is 1622616

GCF of denominators i.e. for 590,354 is 118.

Thus, LCM of Fractions is 1622616/118.Finally, LCM of Fractions for 984/590, 1649/354 is 1622616/118.