Least Common Multiple of 4044/400, 6917/1479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4044/400, 6917/1479 quickly i.e. 27972348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4044/400, 6917/1479 is 27972348.

LCM(4044/400, 6917/1479) = 27972348

LCM of 4044/400, 6917/1479

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 4044/400,6917/1479

Given numbers are 4044/400,6917/1479

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 4044,6917

Least Common Multiple of Numerators i.e. LCM of 4044,6917 is 27972348.

GCF of Denominators means GCF of 400,1479 as per the given fractions.

GCF of 400,1479 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4044,6917

LCM of Fractions 4044/400,6917/1479 is 27972348

Given numbers has no common factors except 1. So, there LCM is their product i.e 27972348

Least Common Multiple of 4044,6917 with GCF Formula

Least Common Multiple of 4044,6917 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 4044,6917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4044,6917) = 1

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

GCF(4044,6917) x common factors =1 x 1 = 1

LCM(4044,6917) = ( 4044 × 6917 ) / 1

LCM(4044,6917) = 27972348 / 1

LCM(4044,6917) = 27972348


Lets's calculate GCF of 400,1479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27972348/1

Therefore the LCM of Fractions 4044/400,6917/1479 is 27972348

Greatest Common Factor of 400,1479 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,1479 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 1479

List of positive integer factors of 1479 that divides 1479 without a remainder.

1,3,17,29,51,87,493,1479

Greatest Common Factor

We found the factors 400,1479 . The biggest common factor number is the GCF number.
So the greatest common factor 400,1479 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 4044/400, 6917/1479

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 4044/400, 6917/1479?

Answer: LCM of Numerators as per given numbers 4044/400, 6917/1479 is

LCM of Numerators i.e. for 4044,6917 is 27972348

GCF of denominators i.e. for 400,1479 is 1.

Thus, LCM of Fractions is 27972348.Finally, LCM of Fractions for 4044/400, 6917/1479 is 27972348.