Least Common Multiple of 5667/535, 8221/7792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5667/535, 8221/7792 quickly i.e. 46588407 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5667/535, 8221/7792 is 46588407.

LCM(5667/535, 8221/7792) = 46588407

LCM of 5667/535, 8221/7792

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 5667/535,8221/7792

Given numbers are 5667/535,8221/7792

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 5667,8221

Least Common Multiple of Numerators i.e. LCM of 5667,8221 is 46588407.

GCF of Denominators means GCF of 535,7792 as per the given fractions.

GCF of 535,7792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5667,8221

LCM of Fractions 5667/535,8221/7792 is 46588407

Given numbers has no common factors except 1. So, there LCM is their product i.e 46588407

Least Common Multiple of 5667,8221 with GCF Formula

Least Common Multiple of 5667,8221 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 5667,8221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5667,8221) = 1

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

GCF(5667,8221) x common factors =1 x 1 = 1

LCM(5667,8221) = ( 5667 × 8221 ) / 1

LCM(5667,8221) = 46588407 / 1

LCM(5667,8221) = 46588407


Lets's calculate GCF of 535,7792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46588407/1

Therefore the LCM of Fractions 5667/535,8221/7792 is 46588407

Greatest Common Factor of 535,7792 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,7792 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 7792

List of positive integer factors of 7792 that divides 7792 without a remainder.

1,2,4,8,16,487,974,1948,3896,7792

Greatest Common Factor

We found the factors 535,7792 . The biggest common factor number is the GCF number.
So the greatest common factor 535,7792 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 5667/535, 8221/7792

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 5667/535, 8221/7792?

Answer: LCM of Numerators as per given numbers 5667/535, 8221/7792 is

LCM of Numerators i.e. for 5667,8221 is 46588407

GCF of denominators i.e. for 535,7792 is 1.

Thus, LCM of Fractions is 46588407.Finally, LCM of Fractions for 5667/535, 8221/7792 is 46588407.