Least Common Multiple of 711/96, 924/82, 385/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 711/96, 924/82, 385/372 quickly i.e. 547470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/96, 924/82, 385/372 is 547470.

LCM(711/96, 924/82, 385/372) = 547470

LCM of 711/96, 924/82, 385/372

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 711/96,924/82,385/372

Given numbers are 711/96,924/82,385/372

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 711,924,385

Least Common Multiple of Numerators i.e. LCM of 711,924,385 is 1094940.

GCF of Denominators means GCF of 96,82,372 as per the given fractions.

GCF of 96,82,372 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,924,385

LCM of Fractions 711/96,924/82,385/372 is 547470

3 711, 924, 385
7 237, 308, 385
11 237, 44, 55
237, 4, 5

∴ So the LCM of the given numbers is 3 x 7 x 11 x 237 x 4 x 5 = 1094940

Least Common Multiple of 711,924,385 with GCF Formula

Least Common Multiple of 711,924,385 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 711,924,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,924,385) = 1

common factors(in case of two or more numbers have common factors) = 231

GCF(711,924,385) x common factors =1 x 231 = 231

LCM(711,924,385) = ( 711 × 924 × 385 ) / 231

LCM(711,924,385) = 252931140 / 231

LCM(711,924,385) = 1094940


Lets's calculate GCF of 96,82,372

2 96, 82, 372
48, 41, 186

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1094940/2

Therefore the LCM of Fractions 711/96,924/82,385/372 is 547470

Greatest Common Factor of 96,82,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,82,372 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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 96,82,372 . The biggest common factor number is the GCF number.
So the greatest common factor 96,82,372 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 711/96, 924/82, 385/372

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 711/96, 924/82, 385/372?

Answer: LCM of Numerators as per given numbers 711/96, 924/82, 385/372 is

LCM of Numerators i.e. for 711,924,385 is 1094940

GCF of denominators i.e. for 96,82,372 is 2.

Thus, LCM of Fractions is 547470.Finally, LCM of Fractions for 711/96, 924/82, 385/372 is 547470.