Least Common Multiple of 270/96, 933/7814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/96, 933/7814 quickly i.e. 41985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/96, 933/7814 is 41985.

LCM(270/96, 933/7814) = 41985

LCM of 270/96, 933/7814

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 270/96,933/7814

Given numbers are 270/96,933/7814

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 270,933

Least Common Multiple of Numerators i.e. LCM of 270,933 is 83970.

GCF of Denominators means GCF of 96,7814 as per the given fractions.

GCF of 96,7814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,933

LCM of Fractions 270/96,933/7814 is 41985

3 270, 933
90, 311

∴ So the LCM of the given numbers is 3 x 90 x 311 = 83970

Least Common Multiple of 270,933 with GCF Formula

Least Common Multiple of 270,933 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 270,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,933) = 3

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

GCF(270,933) x common factors =3 x 1 = 3

LCM(270,933) = ( 270 × 933 ) / 3

LCM(270,933) = 251910 / 3

LCM(270,933) = 83970


Lets's calculate GCF of 96,7814

2 96, 7814
48, 3907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83970/2

Therefore the LCM of Fractions 270/96,933/7814 is 41985

Greatest Common Factor of 96,7814 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,7814 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 7814

List of positive integer factors of 7814 that divides 7814 without a remainder.

1,2,3907,7814

Greatest Common Factor

We found the factors 96,7814 . The biggest common factor number is the GCF number.
So the greatest common factor 96,7814 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 270/96, 933/7814

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 270/96, 933/7814?

Answer: LCM of Numerators as per given numbers 270/96, 933/7814 is

LCM of Numerators i.e. for 270,933 is 83970

GCF of denominators i.e. for 96,7814 is 2.

Thus, LCM of Fractions is 41985.Finally, LCM of Fractions for 270/96, 933/7814 is 41985.