Least Common Multiple of 288/896, 4772/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/896, 4772/340 quickly i.e. 85896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/896, 4772/340 is 85896.

LCM(288/896, 4772/340) = 85896

LCM of 288/896, 4772/340

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 288/896,4772/340

Given numbers are 288/896,4772/340

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 288,4772

Least Common Multiple of Numerators i.e. LCM of 288,4772 is 343584.

GCF of Denominators means GCF of 896,340 as per the given fractions.

GCF of 896,340 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,4772

LCM of Fractions 288/896,4772/340 is 85896

2 288, 4772
2 144, 2386
72, 1193

∴ So the LCM of the given numbers is 2 x 2 x 72 x 1193 = 343584

Least Common Multiple of 288,4772 with GCF Formula

Least Common Multiple of 288,4772 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 288,4772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,4772) = 4

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

GCF(288,4772) x common factors =4 x 1 = 4

LCM(288,4772) = ( 288 × 4772 ) / 4

LCM(288,4772) = 1374336 / 4

LCM(288,4772) = 343584


Lets's calculate GCF of 896,340

2 896, 340
2 448, 170
224, 85

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343584/4

Therefore the LCM of Fractions 288/896,4772/340 is 85896

Greatest Common Factor of 896,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,340 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 896,340 . The biggest common factor number is the GCF number.
So the greatest common factor 896,340 is 4.


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 288/896, 4772/340

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 288/896, 4772/340?

Answer: LCM of Numerators as per given numbers 288/896, 4772/340 is

LCM of Numerators i.e. for 288,4772 is 343584

GCF of denominators i.e. for 896,340 is 4.

Thus, LCM of Fractions is 85896.Finally, LCM of Fractions for 288/896, 4772/340 is 85896.