Least Common Multiple of 1686/204, 7470/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1686/204, 7470/120 quickly i.e. 2099070/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1686/204, 7470/120 is 2099070/12.

LCM(1686/204, 7470/120) = 2099070/12

LCM of 1686/204, 7470/120

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 1686/204,7470/120

Given numbers are 1686/204,7470/120

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 1686,7470

Least Common Multiple of Numerators i.e. LCM of 1686,7470 is 2099070.

GCF of Denominators means GCF of 204,120 as per the given fractions.

GCF of 204,120 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1686,7470

LCM of Fractions 1686/204,7470/120 is 2099070/12

2 1686, 7470
3 843, 3735
281, 1245

∴ So the LCM of the given numbers is 2 x 3 x 281 x 1245 = 2099070

Least Common Multiple of 1686,7470 with GCF Formula

Least Common Multiple of 1686,7470 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 1686,7470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1686,7470) = 6

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

GCF(1686,7470) x common factors =6 x 1 = 6

LCM(1686,7470) = ( 1686 × 7470 ) / 6

LCM(1686,7470) = 12594420 / 6

LCM(1686,7470) = 2099070


Lets's calculate GCF of 204,120

2 204, 120
2 102, 60
3 51, 30
17, 10

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2099070/12

Therefore the LCM of Fractions 1686/204,7470/120 is 2099070/12

Greatest Common Factor of 204,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,120 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 204,120 . The biggest common factor number is the GCF number.
So the greatest common factor 204,120 is 12.


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 1686/204, 7470/120

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 1686/204, 7470/120?

Answer: LCM of Numerators as per given numbers 1686/204, 7470/120 is

LCM of Numerators i.e. for 1686,7470 is 2099070

GCF of denominators i.e. for 204,120 is 12.

Thus, LCM of Fractions is 2099070/12.Finally, LCM of Fractions for 1686/204, 7470/120 is 2099070/12.