Least Common Multiple of 2/62, 33/988, 19/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2/62, 33/988, 19/180 quickly i.e. 627 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/62, 33/988, 19/180 is 627.

LCM(2/62, 33/988, 19/180) = 627

LCM of 2/62, 33/988, 19/180

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 2/62,33/988,19/180

Given numbers are 2/62,33/988,19/180

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 2,33,19

Least Common Multiple of Numerators i.e. LCM of 2,33,19 is 1254.

GCF of Denominators means GCF of 62,988,180 as per the given fractions.

GCF of 62,988,180 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,33,19

LCM of Fractions 2/62,33/988,19/180 is 627

Given numbers has no common factors except 1. So, there LCM is their product i.e 1254

Least Common Multiple of 2,33,19 with GCF Formula

Least Common Multiple of 2,33,19 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 2,33,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,33,19) = 1

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

GCF(2,33,19) x common factors =1 x 1 = 1

LCM(2,33,19) = ( 2 × 33 × 19 ) / 1

LCM(2,33,19) = 1254 / 1

LCM(2,33,19) = 1254


Lets's calculate GCF of 62,988,180

2 62, 988, 180
31, 494, 90

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1254/2

Therefore the LCM of Fractions 2/62,33/988,19/180 is 627

Greatest Common Factor of 62,988,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,988,180 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 62,988,180 . The biggest common factor number is the GCF number.
So the greatest common factor 62,988,180 is 2.


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Frequently Asked Questions on Fractional LCM of 2/62, 33/988, 19/180

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 2/62, 33/988, 19/180?

Answer: LCM of Numerators as per given numbers 2/62, 33/988, 19/180 is

LCM of Numerators i.e. for 2,33,19 is 1254

GCF of denominators i.e. for 62,988,180 is 2.

Thus, LCM of Fractions is 627.Finally, LCM of Fractions for 2/62, 33/988, 19/180 is 627.