Least Common Multiple of 1734/75, 3192/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1734/75, 3192/846 quickly i.e. 307496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1734/75, 3192/846 is 307496.

LCM(1734/75, 3192/846) = 307496

LCM of 1734/75, 3192/846

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 1734/75,3192/846

Given numbers are 1734/75,3192/846

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 1734,3192

Least Common Multiple of Numerators i.e. LCM of 1734,3192 is 922488.

GCF of Denominators means GCF of 75,846 as per the given fractions.

GCF of 75,846 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1734,3192

LCM of Fractions 1734/75,3192/846 is 307496

2 1734, 3192
3 867, 1596
289, 532

∴ So the LCM of the given numbers is 2 x 3 x 289 x 532 = 922488

Least Common Multiple of 1734,3192 with GCF Formula

Least Common Multiple of 1734,3192 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 1734,3192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1734,3192) = 6

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

GCF(1734,3192) x common factors =6 x 1 = 6

LCM(1734,3192) = ( 1734 × 3192 ) / 6

LCM(1734,3192) = 5534928 / 6

LCM(1734,3192) = 922488


Lets's calculate GCF of 75,846

3 75, 846
25, 282

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 922488/3

Therefore the LCM of Fractions 1734/75,3192/846 is 307496

Greatest Common Factor of 75,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,846 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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 75,846 . The biggest common factor number is the GCF number.
So the greatest common factor 75,846 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 1734/75, 3192/846

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 1734/75, 3192/846?

Answer: LCM of Numerators as per given numbers 1734/75, 3192/846 is

LCM of Numerators i.e. for 1734,3192 is 922488

GCF of denominators i.e. for 75,846 is 3.

Thus, LCM of Fractions is 307496.Finally, LCM of Fractions for 1734/75, 3192/846 is 307496.