Least Common Multiple of 3666/86, 2253/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3666/86, 2253/166 quickly i.e. 1376583 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3666/86, 2253/166 is 1376583.

LCM(3666/86, 2253/166) = 1376583

LCM of 3666/86, 2253/166

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 3666/86,2253/166

Given numbers are 3666/86,2253/166

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 3666,2253

Least Common Multiple of Numerators i.e. LCM of 3666,2253 is 2753166.

GCF of Denominators means GCF of 86,166 as per the given fractions.

GCF of 86,166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3666,2253

LCM of Fractions 3666/86,2253/166 is 1376583

3 3666, 2253
1222, 751

∴ So the LCM of the given numbers is 3 x 1222 x 751 = 2753166

Least Common Multiple of 3666,2253 with GCF Formula

Least Common Multiple of 3666,2253 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 3666,2253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3666,2253) = 3

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

GCF(3666,2253) x common factors =3 x 1 = 3

LCM(3666,2253) = ( 3666 × 2253 ) / 3

LCM(3666,2253) = 8259498 / 3

LCM(3666,2253) = 2753166


Lets's calculate GCF of 86,166

2 86, 166
43, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2753166/2

Therefore the LCM of Fractions 3666/86,2253/166 is 1376583

Greatest Common Factor of 86,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,166 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 166

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

1,2,83,166

Greatest Common Factor

We found the factors 86,166 . The biggest common factor number is the GCF number.
So the greatest common factor 86,166 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3666/86, 2253/166

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 3666/86, 2253/166?

Answer: LCM of Numerators as per given numbers 3666/86, 2253/166 is

LCM of Numerators i.e. for 3666,2253 is 2753166

GCF of denominators i.e. for 86,166 is 2.

Thus, LCM of Fractions is 1376583.Finally, LCM of Fractions for 3666/86, 2253/166 is 1376583.