Least Common Multiple of 92/504, 43/939, 288/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/504, 43/939, 288/318 quickly i.e. 94944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/504, 43/939, 288/318 is 94944.

LCM(92/504, 43/939, 288/318) = 94944

LCM of 92/504, 43/939, 288/318

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 92/504,43/939,288/318

Given numbers are 92/504,43/939,288/318

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 92,43,288

Least Common Multiple of Numerators i.e. LCM of 92,43,288 is 284832.

GCF of Denominators means GCF of 504,939,318 as per the given fractions.

GCF of 504,939,318 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,43,288

LCM of Fractions 92/504,43/939,288/318 is 94944

2 92, 43, 288
2 46, 43, 144
23, 43, 72

∴ So the LCM of the given numbers is 2 x 2 x 23 x 43 x 72 = 284832

Least Common Multiple of 92,43,288 with GCF Formula

Least Common Multiple of 92,43,288 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 92,43,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,43,288) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(92,43,288) x common factors =1 x 4 = 4

LCM(92,43,288) = ( 92 × 43 × 288 ) / 4

LCM(92,43,288) = 1139328 / 4

LCM(92,43,288) = 284832


Lets's calculate GCF of 504,939,318

3 504, 939, 318
168, 313, 106

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284832/3

Therefore the LCM of Fractions 92/504,43/939,288/318 is 94944

Greatest Common Factor of 504,939,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,939,318 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 504,939,318 . The biggest common factor number is the GCF number.
So the greatest common factor 504,939,318 is 3.


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 92/504, 43/939, 288/318

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 92/504, 43/939, 288/318?

Answer: LCM of Numerators as per given numbers 92/504, 43/939, 288/318 is

LCM of Numerators i.e. for 92,43,288 is 284832

GCF of denominators i.e. for 504,939,318 is 3.

Thus, LCM of Fractions is 94944.Finally, LCM of Fractions for 92/504, 43/939, 288/318 is 94944.