Least Common Multiple of 44/92, 825/69, 442/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/92, 825/69, 442/966 quickly i.e. 729300/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/92, 825/69, 442/966 is 729300/23.

LCM(44/92, 825/69, 442/966) = 729300/23

LCM of 44/92, 825/69, 442/966

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 44/92,825/69,442/966

Given numbers are 44/92,825/69,442/966

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 44,825,442

Least Common Multiple of Numerators i.e. LCM of 44,825,442 is 729300.

GCF of Denominators means GCF of 92,69,966 as per the given fractions.

GCF of 92,69,966 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,825,442

LCM of Fractions 44/92,825/69,442/966 is 729300/23

2 44, 825, 442
11 22, 825, 221
2, 75, 221

∴ So the LCM of the given numbers is 2 x 11 x 2 x 75 x 221 = 729300

Least Common Multiple of 44,825,442 with GCF Formula

Least Common Multiple of 44,825,442 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 44,825,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,825,442) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(44,825,442) x common factors =1 x 22 = 22

LCM(44,825,442) = ( 44 × 825 × 442 ) / 22

LCM(44,825,442) = 16044600 / 22

LCM(44,825,442) = 729300


Lets's calculate GCF of 92,69,966

23 92, 69, 966
4, 3, 42

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 729300/23

Therefore the LCM of Fractions 44/92,825/69,442/966 is 729300/23

Greatest Common Factor of 92,69,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,69,966 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 92,69,966 . The biggest common factor number is the GCF number.
So the greatest common factor 92,69,966 is 23.


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 44/92, 825/69, 442/966

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 44/92, 825/69, 442/966?

Answer: LCM of Numerators as per given numbers 44/92, 825/69, 442/966 is

LCM of Numerators i.e. for 44,825,442 is 729300

GCF of denominators i.e. for 92,69,966 is 23.

Thus, LCM of Fractions is 729300/23.Finally, LCM of Fractions for 44/92, 825/69, 442/966 is 729300/23.