Least Common Multiple of 852/66, 344/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/66, 344/846 quickly i.e. 12212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/66, 344/846 is 12212.

LCM(852/66, 344/846) = 12212

LCM of 852/66, 344/846

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 852/66,344/846

Given numbers are 852/66,344/846

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 852,344

Least Common Multiple of Numerators i.e. LCM of 852,344 is 73272.

GCF of Denominators means GCF of 66,846 as per the given fractions.

GCF of 66,846 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,344

LCM of Fractions 852/66,344/846 is 12212

2 852, 344
2 426, 172
213, 86

∴ So the LCM of the given numbers is 2 x 2 x 213 x 86 = 73272

Least Common Multiple of 852,344 with GCF Formula

Least Common Multiple of 852,344 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 852,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,344) = 4

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

GCF(852,344) x common factors =4 x 1 = 4

LCM(852,344) = ( 852 × 344 ) / 4

LCM(852,344) = 293088 / 4

LCM(852,344) = 73272


Lets's calculate GCF of 66,846

2 66, 846
3 33, 423
11, 141

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73272/6

Therefore the LCM of Fractions 852/66,344/846 is 12212

Greatest Common Factor of 66,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,846 By Matching Biggest Common Factor Method

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 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 66,846 . The biggest common factor number is the GCF number.
So the greatest common factor 66,846 is 6.


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 852/66, 344/846

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 852/66, 344/846?

Answer: LCM of Numerators as per given numbers 852/66, 344/846 is

LCM of Numerators i.e. for 852,344 is 73272

GCF of denominators i.e. for 66,846 is 6.

Thus, LCM of Fractions is 12212.Finally, LCM of Fractions for 852/66, 344/846 is 12212.