Least Common Multiple of 5655/410, 7191/1664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5655/410, 7191/1664 quickly i.e. 13555035/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5655/410, 7191/1664 is 13555035/2.

LCM(5655/410, 7191/1664) = 13555035/2

LCM of 5655/410, 7191/1664

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 5655/410,7191/1664

Given numbers are 5655/410,7191/1664

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 5655,7191

Least Common Multiple of Numerators i.e. LCM of 5655,7191 is 13555035.

GCF of Denominators means GCF of 410,1664 as per the given fractions.

GCF of 410,1664 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5655,7191

LCM of Fractions 5655/410,7191/1664 is 13555035/2

3 5655, 7191
1885, 2397

∴ So the LCM of the given numbers is 3 x 1885 x 2397 = 13555035

Least Common Multiple of 5655,7191 with GCF Formula

Least Common Multiple of 5655,7191 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 5655,7191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5655,7191) = 3

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

GCF(5655,7191) x common factors =3 x 1 = 3

LCM(5655,7191) = ( 5655 × 7191 ) / 3

LCM(5655,7191) = 40665105 / 3

LCM(5655,7191) = 13555035


Lets's calculate GCF of 410,1664

2 410, 1664
205, 832

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13555035/2

Therefore the LCM of Fractions 5655/410,7191/1664 is 13555035/2

Greatest Common Factor of 410,1664 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,1664 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 1664

List of positive integer factors of 1664 that divides 1664 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,128,208,416,832,1664

Greatest Common Factor

We found the factors 410,1664 . The biggest common factor number is the GCF number.
So the greatest common factor 410,1664 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 5655/410, 7191/1664

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 5655/410, 7191/1664?

Answer: LCM of Numerators as per given numbers 5655/410, 7191/1664 is

LCM of Numerators i.e. for 5655,7191 is 13555035

GCF of denominators i.e. for 410,1664 is 2.

Thus, LCM of Fractions is 13555035/2.Finally, LCM of Fractions for 5655/410, 7191/1664 is 13555035/2.