Least Common Multiple of 7414/440, 7431/1382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7414/440, 7431/1382 quickly i.e. 27546717 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7414/440, 7431/1382 is 27546717.

LCM(7414/440, 7431/1382) = 27546717

LCM of 7414/440, 7431/1382

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 7414/440,7431/1382

Given numbers are 7414/440,7431/1382

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 7414,7431

Least Common Multiple of Numerators i.e. LCM of 7414,7431 is 55093434.

GCF of Denominators means GCF of 440,1382 as per the given fractions.

GCF of 440,1382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7414,7431

LCM of Fractions 7414/440,7431/1382 is 27546717

Given numbers has no common factors except 1. So, there LCM is their product i.e 55093434

Least Common Multiple of 7414,7431 with GCF Formula

Least Common Multiple of 7414,7431 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 7414,7431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7414,7431) = 1

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

GCF(7414,7431) x common factors =1 x 1 = 1

LCM(7414,7431) = ( 7414 × 7431 ) / 1

LCM(7414,7431) = 55093434 / 1

LCM(7414,7431) = 55093434


Lets's calculate GCF of 440,1382

2 440, 1382
220, 691

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55093434/2

Therefore the LCM of Fractions 7414/440,7431/1382 is 27546717

Greatest Common Factor of 440,1382 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,1382 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 1382

List of positive integer factors of 1382 that divides 1382 without a remainder.

1,2,691,1382

Greatest Common Factor

We found the factors 440,1382 . The biggest common factor number is the GCF number.
So the greatest common factor 440,1382 is 2.


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 7414/440, 7431/1382

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 7414/440, 7431/1382?

Answer: LCM of Numerators as per given numbers 7414/440, 7431/1382 is

LCM of Numerators i.e. for 7414,7431 is 55093434

GCF of denominators i.e. for 440,1382 is 2.

Thus, LCM of Fractions is 27546717.Finally, LCM of Fractions for 7414/440, 7431/1382 is 27546717.