Least Common Multiple of 966/86, 847/66, 531/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 966/86, 847/66, 531/627 quickly i.e. 20688822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 966/86, 847/66, 531/627 is 20688822.

LCM(966/86, 847/66, 531/627) = 20688822

LCM of 966/86, 847/66, 531/627

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 966/86,847/66,531/627

Given numbers are 966/86,847/66,531/627

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 966,847,531

Least Common Multiple of Numerators i.e. LCM of 966,847,531 is 20688822.

GCF of Denominators means GCF of 86,66,627 as per the given fractions.

GCF of 86,66,627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 966,847,531

LCM of Fractions 966/86,847/66,531/627 is 20688822

3 966, 847, 531
7 322, 847, 177
46, 121, 177

∴ So the LCM of the given numbers is 3 x 7 x 46 x 121 x 177 = 20688822

Least Common Multiple of 966,847,531 with GCF Formula

Least Common Multiple of 966,847,531 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 966,847,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,847,531) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(966,847,531) x common factors =1 x 21 = 21

LCM(966,847,531) = ( 966 × 847 × 531 ) / 21

LCM(966,847,531) = 434465262 / 21

LCM(966,847,531) = 20688822


Lets's calculate GCF of 86,66,627

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20688822/1

Therefore the LCM of Fractions 966/86,847/66,531/627 is 20688822

Greatest Common Factor of 86,66,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,66,627 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 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 86,66,627 . The biggest common factor number is the GCF number.
So the greatest common factor 86,66,627 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 966/86, 847/66, 531/627

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 966/86, 847/66, 531/627?

Answer: LCM of Numerators as per given numbers 966/86, 847/66, 531/627 is

LCM of Numerators i.e. for 966,847,531 is 20688822

GCF of denominators i.e. for 86,66,627 is 1.

Thus, LCM of Fractions is 20688822.Finally, LCM of Fractions for 966/86, 847/66, 531/627 is 20688822.