Least Common Multiple of 2055/189, 3370/9771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2055/189, 3370/9771 quickly i.e. 461690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2055/189, 3370/9771 is 461690.

LCM(2055/189, 3370/9771) = 461690

LCM of 2055/189, 3370/9771

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 2055/189,3370/9771

Given numbers are 2055/189,3370/9771

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 2055,3370

Least Common Multiple of Numerators i.e. LCM of 2055,3370 is 1385070.

GCF of Denominators means GCF of 189,9771 as per the given fractions.

GCF of 189,9771 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2055,3370

LCM of Fractions 2055/189,3370/9771 is 461690

5 2055, 3370
411, 674

∴ So the LCM of the given numbers is 5 x 411 x 674 = 1385070

Least Common Multiple of 2055,3370 with GCF Formula

Least Common Multiple of 2055,3370 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 2055,3370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2055,3370) = 5

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

GCF(2055,3370) x common factors =5 x 1 = 5

LCM(2055,3370) = ( 2055 × 3370 ) / 5

LCM(2055,3370) = 6925350 / 5

LCM(2055,3370) = 1385070


Lets's calculate GCF of 189,9771

3 189, 9771
63, 3257

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1385070/3

Therefore the LCM of Fractions 2055/189,3370/9771 is 461690

Greatest Common Factor of 189,9771 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,9771 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 9771

List of positive integer factors of 9771 that divides 9771 without a remainder.

1,3,3257,9771

Greatest Common Factor

We found the factors 189,9771 . The biggest common factor number is the GCF number.
So the greatest common factor 189,9771 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2055/189, 3370/9771

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 2055/189, 3370/9771?

Answer: LCM of Numerators as per given numbers 2055/189, 3370/9771 is

LCM of Numerators i.e. for 2055,3370 is 1385070

GCF of denominators i.e. for 189,9771 is 3.

Thus, LCM of Fractions is 461690.Finally, LCM of Fractions for 2055/189, 3370/9771 is 461690.