Least Common Multiple of 110/322, 7152/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 110/322, 7152/933 quickly i.e. 393360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 110/322, 7152/933 is 393360.

LCM(110/322, 7152/933) = 393360

LCM of 110/322, 7152/933

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 110/322,7152/933

Given numbers are 110/322,7152/933

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 110,7152

Least Common Multiple of Numerators i.e. LCM of 110,7152 is 393360.

GCF of Denominators means GCF of 322,933 as per the given fractions.

GCF of 322,933 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 110,7152

LCM of Fractions 110/322,7152/933 is 393360

2 110, 7152
55, 3576

∴ So the LCM of the given numbers is 2 x 55 x 3576 = 393360

Least Common Multiple of 110,7152 with GCF Formula

Least Common Multiple of 110,7152 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 110,7152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(110,7152) = 2

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

GCF(110,7152) x common factors =2 x 1 = 2

LCM(110,7152) = ( 110 × 7152 ) / 2

LCM(110,7152) = 786720 / 2

LCM(110,7152) = 393360


Lets's calculate GCF of 322,933

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 393360/1

Therefore the LCM of Fractions 110/322,7152/933 is 393360

Greatest Common Factor of 322,933 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,933 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Greatest Common Factor

We found the factors 322,933 . The biggest common factor number is the GCF number.
So the greatest common factor 322,933 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 110/322, 7152/933

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 110/322, 7152/933?

Answer: LCM of Numerators as per given numbers 110/322, 7152/933 is

LCM of Numerators i.e. for 110,7152 is 393360

GCF of denominators i.e. for 322,933 is 1.

Thus, LCM of Fractions is 393360.Finally, LCM of Fractions for 110/322, 7152/933 is 393360.