Least Common Multiple of 86/53, 69/31, 966/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/53, 69/31, 966/772 quickly i.e. 41538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/53, 69/31, 966/772 is 41538.

LCM(86/53, 69/31, 966/772) = 41538

LCM of 86/53, 69/31, 966/772

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 86/53,69/31,966/772

Given numbers are 86/53,69/31,966/772

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 86,69,966

Least Common Multiple of Numerators i.e. LCM of 86,69,966 is 41538.

GCF of Denominators means GCF of 53,31,772 as per the given fractions.

GCF of 53,31,772 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,69,966

LCM of Fractions 86/53,69/31,966/772 is 41538

2 86, 69, 966
3 43, 69, 483
23 43, 23, 161
43, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 23 x 43 x 1 x 7 = 41538

Least Common Multiple of 86,69,966 with GCF Formula

Least Common Multiple of 86,69,966 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 86,69,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,69,966) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(86,69,966) x common factors =1 x 138 = 138

LCM(86,69,966) = ( 86 × 69 × 966 ) / 138

LCM(86,69,966) = 5732244 / 138

LCM(86,69,966) = 41538


Lets's calculate GCF of 53,31,772

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41538/1

Therefore the LCM of Fractions 86/53,69/31,966/772 is 41538

Greatest Common Factor of 53,31,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,31,772 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 53,31,772 . The biggest common factor number is the GCF number.
So the greatest common factor 53,31,772 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 86/53, 69/31, 966/772

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 86/53, 69/31, 966/772?

Answer: LCM of Numerators as per given numbers 86/53, 69/31, 966/772 is

LCM of Numerators i.e. for 86,69,966 is 41538

GCF of denominators i.e. for 53,31,772 is 1.

Thus, LCM of Fractions is 41538.Finally, LCM of Fractions for 86/53, 69/31, 966/772 is 41538.