Least Common Multiple of 5493/222, 8122/1210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5493/222, 8122/1210 quickly i.e. 22307073 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5493/222, 8122/1210 is 22307073.

LCM(5493/222, 8122/1210) = 22307073

LCM of 5493/222, 8122/1210

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 5493/222,8122/1210

Given numbers are 5493/222,8122/1210

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 5493,8122

Least Common Multiple of Numerators i.e. LCM of 5493,8122 is 44614146.

GCF of Denominators means GCF of 222,1210 as per the given fractions.

GCF of 222,1210 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5493,8122

LCM of Fractions 5493/222,8122/1210 is 22307073

Given numbers has no common factors except 1. So, there LCM is their product i.e 44614146

Least Common Multiple of 5493,8122 with GCF Formula

Least Common Multiple of 5493,8122 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 5493,8122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5493,8122) = 1

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

GCF(5493,8122) x common factors =1 x 1 = 1

LCM(5493,8122) = ( 5493 × 8122 ) / 1

LCM(5493,8122) = 44614146 / 1

LCM(5493,8122) = 44614146


Lets's calculate GCF of 222,1210

2 222, 1210
111, 605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44614146/2

Therefore the LCM of Fractions 5493/222,8122/1210 is 22307073

Greatest Common Factor of 222,1210 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,1210 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 1210

List of positive integer factors of 1210 that divides 1210 without a remainder.

1,2,5,10,11,22,55,110,121,242,605,1210

Greatest Common Factor

We found the factors 222,1210 . The biggest common factor number is the GCF number.
So the greatest common factor 222,1210 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 5493/222, 8122/1210

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 5493/222, 8122/1210?

Answer: LCM of Numerators as per given numbers 5493/222, 8122/1210 is

LCM of Numerators i.e. for 5493,8122 is 44614146

GCF of denominators i.e. for 222,1210 is 2.

Thus, LCM of Fractions is 22307073.Finally, LCM of Fractions for 5493/222, 8122/1210 is 22307073.