Least Common Multiple of 12/166, 7545/1292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 12/166, 7545/1292 quickly i.e. 15090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/166, 7545/1292 is 15090.

LCM(12/166, 7545/1292) = 15090

LCM of 12/166, 7545/1292

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 12/166,7545/1292

Given numbers are 12/166,7545/1292

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 12,7545

Least Common Multiple of Numerators i.e. LCM of 12,7545 is 30180.

GCF of Denominators means GCF of 166,1292 as per the given fractions.

GCF of 166,1292 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,7545

LCM of Fractions 12/166,7545/1292 is 15090

3 12, 7545
4, 2515

∴ So the LCM of the given numbers is 3 x 4 x 2515 = 30180

Least Common Multiple of 12,7545 with GCF Formula

Least Common Multiple of 12,7545 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 12,7545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,7545) = 3

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

GCF(12,7545) x common factors =3 x 1 = 3

LCM(12,7545) = ( 12 × 7545 ) / 3

LCM(12,7545) = 90540 / 3

LCM(12,7545) = 30180


Lets's calculate GCF of 166,1292

2 166, 1292
83, 646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30180/2

Therefore the LCM of Fractions 12/166,7545/1292 is 15090

Greatest Common Factor of 166,1292 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,1292 By Matching Biggest Common Factor Method

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 1292

List of positive integer factors of 1292 that divides 1292 without a remainder.

1,2,4,17,19,34,38,68,76,323,646,1292

Greatest Common Factor

We found the factors 166,1292 . The biggest common factor number is the GCF number.
So the greatest common factor 166,1292 is 2.


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Frequently Asked Questions on Fractional LCM of 12/166, 7545/1292

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 12/166, 7545/1292?

Answer: LCM of Numerators as per given numbers 12/166, 7545/1292 is

LCM of Numerators i.e. for 12,7545 is 30180

GCF of denominators i.e. for 166,1292 is 2.

Thus, LCM of Fractions is 15090.Finally, LCM of Fractions for 12/166, 7545/1292 is 15090.