Least Common Multiple of 834/87, 966/8367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 834/87, 966/8367 quickly i.e. 44758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 834/87, 966/8367 is 44758.

LCM(834/87, 966/8367) = 44758

LCM of 834/87, 966/8367

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 834/87,966/8367

Given numbers are 834/87,966/8367

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 834,966

Least Common Multiple of Numerators i.e. LCM of 834,966 is 134274.

GCF of Denominators means GCF of 87,8367 as per the given fractions.

GCF of 87,8367 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 834,966

LCM of Fractions 834/87,966/8367 is 44758

2 834, 966
3 417, 483
139, 161

∴ So the LCM of the given numbers is 2 x 3 x 139 x 161 = 134274

Least Common Multiple of 834,966 with GCF Formula

Least Common Multiple of 834,966 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 834,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,966) = 6

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

GCF(834,966) x common factors =6 x 1 = 6

LCM(834,966) = ( 834 × 966 ) / 6

LCM(834,966) = 805644 / 6

LCM(834,966) = 134274


Lets's calculate GCF of 87,8367

3 87, 8367
29, 2789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134274/3

Therefore the LCM of Fractions 834/87,966/8367 is 44758

Greatest Common Factor of 87,8367 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,8367 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 8367

List of positive integer factors of 8367 that divides 8367 without a remainder.

1,3,2789,8367

Greatest Common Factor

We found the factors 87,8367 . The biggest common factor number is the GCF number.
So the greatest common factor 87,8367 is 3.


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 834/87, 966/8367

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 834/87, 966/8367?

Answer: LCM of Numerators as per given numbers 834/87, 966/8367 is

LCM of Numerators i.e. for 834,966 is 134274

GCF of denominators i.e. for 87,8367 is 3.

Thus, LCM of Fractions is 44758.Finally, LCM of Fractions for 834/87, 966/8367 is 44758.