Least Common Multiple of 40/691, 749/12, 403/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/691, 749/12, 403/984 quickly i.e. 12073880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/691, 749/12, 403/984 is 12073880.

LCM(40/691, 749/12, 403/984) = 12073880

LCM of 40/691, 749/12, 403/984

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 40/691,749/12,403/984

Given numbers are 40/691,749/12,403/984

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 40,749,403

Least Common Multiple of Numerators i.e. LCM of 40,749,403 is 12073880.

GCF of Denominators means GCF of 691,12,984 as per the given fractions.

GCF of 691,12,984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,749,403

LCM of Fractions 40/691,749/12,403/984 is 12073880

Given numbers has no common factors except 1. So, there LCM is their product i.e 12073880

Least Common Multiple of 40,749,403 with GCF Formula

Least Common Multiple of 40,749,403 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 40,749,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,749,403) = 1

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

GCF(40,749,403) x common factors =1 x 1 = 1

LCM(40,749,403) = ( 40 × 749 × 403 ) / 1

LCM(40,749,403) = 12073880 / 1

LCM(40,749,403) = 12073880


Lets's calculate GCF of 691,12,984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12073880/1

Therefore the LCM of Fractions 40/691,749/12,403/984 is 12073880

Greatest Common Factor of 691,12,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 691,12,984 By Matching Biggest Common Factor Method

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

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

Greatest Common Factor

We found the factors 691,12,984 . The biggest common factor number is the GCF number.
So the greatest common factor 691,12,984 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 40/691, 749/12, 403/984

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 40/691, 749/12, 403/984?

Answer: LCM of Numerators as per given numbers 40/691, 749/12, 403/984 is

LCM of Numerators i.e. for 40,749,403 is 12073880

GCF of denominators i.e. for 691,12,984 is 1.

Thus, LCM of Fractions is 12073880.Finally, LCM of Fractions for 40/691, 749/12, 403/984 is 12073880.