Least Common Multiple of 76/923, 74/892, 592/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/923, 74/892, 592/360 quickly i.e. 11248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/923, 74/892, 592/360 is 11248.

LCM(76/923, 74/892, 592/360) = 11248

LCM of 76/923, 74/892, 592/360

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 76/923,74/892,592/360

Given numbers are 76/923,74/892,592/360

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 76,74,592

Least Common Multiple of Numerators i.e. LCM of 76,74,592 is 11248.

GCF of Denominators means GCF of 923,892,360 as per the given fractions.

GCF of 923,892,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,74,592

LCM of Fractions 76/923,74/892,592/360 is 11248

2 76, 74, 592
2 38, 37, 296
37 19, 37, 148
19, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 37 x 19 x 1 x 4 = 11248

Least Common Multiple of 76,74,592 with GCF Formula

Least Common Multiple of 76,74,592 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 76,74,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,74,592) = 2

common factors(in case of two or more numbers have common factors) = 148

GCF(76,74,592) x common factors =2 x 148 = 296

LCM(76,74,592) = ( 76 × 74 × 592 ) / 296

LCM(76,74,592) = 3329408 / 296

LCM(76,74,592) = 11248


Lets's calculate GCF of 923,892,360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11248/1

Therefore the LCM of Fractions 76/923,74/892,592/360 is 11248

Greatest Common Factor of 923,892,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,892,360 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 923,892,360 . The biggest common factor number is the GCF number.
So the greatest common factor 923,892,360 is 1.


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 76/923, 74/892, 592/360

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 76/923, 74/892, 592/360?

Answer: LCM of Numerators as per given numbers 76/923, 74/892, 592/360 is

LCM of Numerators i.e. for 76,74,592 is 11248

GCF of denominators i.e. for 923,892,360 is 1.

Thus, LCM of Fractions is 11248.Finally, LCM of Fractions for 76/923, 74/892, 592/360 is 11248.