Least Common Multiple of 3361/634, 2677/5666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3361/634, 2677/5666 quickly i.e. 8997397/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3361/634, 2677/5666 is 8997397/2.

LCM(3361/634, 2677/5666) = 8997397/2

LCM of 3361/634, 2677/5666

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 3361/634,2677/5666

Given numbers are 3361/634,2677/5666

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 3361,2677

Least Common Multiple of Numerators i.e. LCM of 3361,2677 is 8997397.

GCF of Denominators means GCF of 634,5666 as per the given fractions.

GCF of 634,5666 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3361,2677

LCM of Fractions 3361/634,2677/5666 is 8997397/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 8997397

Least Common Multiple of 3361,2677 with GCF Formula

Least Common Multiple of 3361,2677 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 3361,2677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3361,2677) = 1

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

GCF(3361,2677) x common factors =1 x 1 = 1

LCM(3361,2677) = ( 3361 × 2677 ) / 1

LCM(3361,2677) = 8997397 / 1

LCM(3361,2677) = 8997397


Lets's calculate GCF of 634,5666

2 634, 5666
317, 2833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8997397/2

Therefore the LCM of Fractions 3361/634,2677/5666 is 8997397/2

Greatest Common Factor of 634,5666 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,5666 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 5666

List of positive integer factors of 5666 that divides 5666 without a remainder.

1,2,2833,5666

Greatest Common Factor

We found the factors 634,5666 . The biggest common factor number is the GCF number.
So the greatest common factor 634,5666 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 3361/634, 2677/5666

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 3361/634, 2677/5666?

Answer: LCM of Numerators as per given numbers 3361/634, 2677/5666 is

LCM of Numerators i.e. for 3361,2677 is 8997397

GCF of denominators i.e. for 634,5666 is 2.

Thus, LCM of Fractions is 8997397/2.Finally, LCM of Fractions for 3361/634, 2677/5666 is 8997397/2.