Least Common Multiple of 1/13, 49/145, 33/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/13, 49/145, 33/222 quickly i.e. 1617 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/13, 49/145, 33/222 is 1617.

LCM(1/13, 49/145, 33/222) = 1617

LCM of 1/13, 49/145, 33/222

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 1/13,49/145,33/222

Given numbers are 1/13,49/145,33/222

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 1,49,33

Least Common Multiple of Numerators i.e. LCM of 1,49,33 is 1617.

GCF of Denominators means GCF of 13,145,222 as per the given fractions.

GCF of 13,145,222 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,49,33

LCM of Fractions 1/13,49/145,33/222 is 1617

Given numbers has no common factors except 1. So, there LCM is their product i.e 1617

Least Common Multiple of 1,49,33 with GCF Formula

Least Common Multiple of 1,49,33 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 1,49,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,49,33) = 1

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

GCF(1,49,33) x common factors =1 x 1 = 1

LCM(1,49,33) = ( 1 × 49 × 33 ) / 1

LCM(1,49,33) = 1617 / 1

LCM(1,49,33) = 1617


Lets's calculate GCF of 13,145,222

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1617/1

Therefore the LCM of Fractions 1/13,49/145,33/222 is 1617

Greatest Common Factor of 13,145,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,145,222 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 222

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

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

Greatest Common Factor

We found the factors 13,145,222 . The biggest common factor number is the GCF number.
So the greatest common factor 13,145,222 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 1/13, 49/145, 33/222

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 1/13, 49/145, 33/222?

Answer: LCM of Numerators as per given numbers 1/13, 49/145, 33/222 is

LCM of Numerators i.e. for 1,49,33 is 1617

GCF of denominators i.e. for 13,145,222 is 1.

Thus, LCM of Fractions is 1617.Finally, LCM of Fractions for 1/13, 49/145, 33/222 is 1617.