Least Common Multiple of 1494/984, 5978/3685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1494/984, 5978/3685 quickly i.e. 4465566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1494/984, 5978/3685 is 4465566.

LCM(1494/984, 5978/3685) = 4465566

LCM of 1494/984, 5978/3685

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 1494/984,5978/3685

Given numbers are 1494/984,5978/3685

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 1494,5978

Least Common Multiple of Numerators i.e. LCM of 1494,5978 is 4465566.

GCF of Denominators means GCF of 984,3685 as per the given fractions.

GCF of 984,3685 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1494,5978

LCM of Fractions 1494/984,5978/3685 is 4465566

2 1494, 5978
747, 2989

∴ So the LCM of the given numbers is 2 x 747 x 2989 = 4465566

Least Common Multiple of 1494,5978 with GCF Formula

Least Common Multiple of 1494,5978 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 1494,5978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1494,5978) = 2

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

GCF(1494,5978) x common factors =2 x 1 = 2

LCM(1494,5978) = ( 1494 × 5978 ) / 2

LCM(1494,5978) = 8931132 / 2

LCM(1494,5978) = 4465566


Lets's calculate GCF of 984,3685

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4465566/1

Therefore the LCM of Fractions 1494/984,5978/3685 is 4465566

Greatest Common Factor of 984,3685 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,3685 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 3685

List of positive integer factors of 3685 that divides 3685 without a remainder.

1,5,11,55,67,335,737,3685

Greatest Common Factor

We found the factors 984,3685 . The biggest common factor number is the GCF number.
So the greatest common factor 984,3685 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 1494/984, 5978/3685

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 1494/984, 5978/3685?

Answer: LCM of Numerators as per given numbers 1494/984, 5978/3685 is

LCM of Numerators i.e. for 1494,5978 is 4465566

GCF of denominators i.e. for 984,3685 is 1.

Thus, LCM of Fractions is 4465566.Finally, LCM of Fractions for 1494/984, 5978/3685 is 4465566.