Least Common Multiple of 62/567, 2186/7173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/567, 2186/7173 quickly i.e. 67766/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/567, 2186/7173 is 67766/9.

LCM(62/567, 2186/7173) = 67766/9

LCM of 62/567, 2186/7173

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 62/567,2186/7173

Given numbers are 62/567,2186/7173

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 62,2186

Least Common Multiple of Numerators i.e. LCM of 62,2186 is 67766.

GCF of Denominators means GCF of 567,7173 as per the given fractions.

GCF of 567,7173 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,2186

LCM of Fractions 62/567,2186/7173 is 67766/9

2 62, 2186
31, 1093

∴ So the LCM of the given numbers is 2 x 31 x 1093 = 67766

Least Common Multiple of 62,2186 with GCF Formula

Least Common Multiple of 62,2186 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 62,2186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,2186) = 2

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

GCF(62,2186) x common factors =2 x 1 = 2

LCM(62,2186) = ( 62 × 2186 ) / 2

LCM(62,2186) = 135532 / 2

LCM(62,2186) = 67766


Lets's calculate GCF of 567,7173

3 567, 7173
3 189, 2391
63, 797

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67766/9

Therefore the LCM of Fractions 62/567,2186/7173 is 67766/9

Greatest Common Factor of 567,7173 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,7173 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 7173

List of positive integer factors of 7173 that divides 7173 without a remainder.

1,3,9,797,2391,7173

Greatest Common Factor

We found the factors 567,7173 . The biggest common factor number is the GCF number.
So the greatest common factor 567,7173 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/567, 2186/7173

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 62/567, 2186/7173?

Answer: LCM of Numerators as per given numbers 62/567, 2186/7173 is

LCM of Numerators i.e. for 62,2186 is 67766

GCF of denominators i.e. for 567,7173 is 9.

Thus, LCM of Fractions is 67766/9.Finally, LCM of Fractions for 62/567, 2186/7173 is 67766/9.