Least Common Multiple of 675/46, 7296/236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/46, 7296/236 quickly i.e. 820800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/46, 7296/236 is 820800.

LCM(675/46, 7296/236) = 820800

LCM of 675/46, 7296/236

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 675/46,7296/236

Given numbers are 675/46,7296/236

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 675,7296

Least Common Multiple of Numerators i.e. LCM of 675,7296 is 1641600.

GCF of Denominators means GCF of 46,236 as per the given fractions.

GCF of 46,236 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,7296

LCM of Fractions 675/46,7296/236 is 820800

3 675, 7296
225, 2432

∴ So the LCM of the given numbers is 3 x 225 x 2432 = 1641600

Least Common Multiple of 675,7296 with GCF Formula

Least Common Multiple of 675,7296 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 675,7296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,7296) = 3

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

GCF(675,7296) x common factors =3 x 1 = 3

LCM(675,7296) = ( 675 × 7296 ) / 3

LCM(675,7296) = 4924800 / 3

LCM(675,7296) = 1641600


Lets's calculate GCF of 46,236

2 46, 236
23, 118

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1641600/2

Therefore the LCM of Fractions 675/46,7296/236 is 820800

Greatest Common Factor of 46,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,236 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Greatest Common Factor

We found the factors 46,236 . The biggest common factor number is the GCF number.
So the greatest common factor 46,236 is 2.


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 675/46, 7296/236

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 675/46, 7296/236?

Answer: LCM of Numerators as per given numbers 675/46, 7296/236 is

LCM of Numerators i.e. for 675,7296 is 1641600

GCF of denominators i.e. for 46,236 is 2.

Thus, LCM of Fractions is 820800.Finally, LCM of Fractions for 675/46, 7296/236 is 820800.