Least Common Multiple of 166/696, 5682/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 166/696, 5682/579 quickly i.e. 157202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 166/696, 5682/579 is 157202.

LCM(166/696, 5682/579) = 157202

LCM of 166/696, 5682/579

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 166/696,5682/579

Given numbers are 166/696,5682/579

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 166,5682

Least Common Multiple of Numerators i.e. LCM of 166,5682 is 471606.

GCF of Denominators means GCF of 696,579 as per the given fractions.

GCF of 696,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 166,5682

LCM of Fractions 166/696,5682/579 is 157202

2 166, 5682
83, 2841

∴ So the LCM of the given numbers is 2 x 83 x 2841 = 471606

Least Common Multiple of 166,5682 with GCF Formula

Least Common Multiple of 166,5682 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 166,5682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(166,5682) = 2

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

GCF(166,5682) x common factors =2 x 1 = 2

LCM(166,5682) = ( 166 × 5682 ) / 2

LCM(166,5682) = 943212 / 2

LCM(166,5682) = 471606


Lets's calculate GCF of 696,579

3 696, 579
232, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 471606/3

Therefore the LCM of Fractions 166/696,5682/579 is 157202

Greatest Common Factor of 696,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,579 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 696,579 . The biggest common factor number is the GCF number.
So the greatest common factor 696,579 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 166/696, 5682/579

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 166/696, 5682/579?

Answer: LCM of Numerators as per given numbers 166/696, 5682/579 is

LCM of Numerators i.e. for 166,5682 is 471606

GCF of denominators i.e. for 696,579 is 3.

Thus, LCM of Fractions is 157202.Finally, LCM of Fractions for 166/696, 5682/579 is 157202.