Least Common Multiple of 48/160, 848/580, 233/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/160, 848/580, 233/774 quickly i.e. 296376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/160, 848/580, 233/774 is 296376.

LCM(48/160, 848/580, 233/774) = 296376

LCM of 48/160, 848/580, 233/774

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 48/160,848/580,233/774

Given numbers are 48/160,848/580,233/774

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 48,848,233

Least Common Multiple of Numerators i.e. LCM of 48,848,233 is 592752.

GCF of Denominators means GCF of 160,580,774 as per the given fractions.

GCF of 160,580,774 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,848,233

LCM of Fractions 48/160,848/580,233/774 is 296376

2 48, 848, 233
2 24, 424, 233
2 12, 212, 233
2 6, 106, 233
3, 53, 233

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 53 x 233 = 592752

Least Common Multiple of 48,848,233 with GCF Formula

Least Common Multiple of 48,848,233 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 48,848,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,848,233) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(48,848,233) x common factors =1 x 16 = 16

LCM(48,848,233) = ( 48 × 848 × 233 ) / 16

LCM(48,848,233) = 9484032 / 16

LCM(48,848,233) = 592752


Lets's calculate GCF of 160,580,774

2 160, 580, 774
80, 290, 387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 592752/2

Therefore the LCM of Fractions 48/160,848/580,233/774 is 296376

Greatest Common Factor of 160,580,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,580,774 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 160,580,774 . The biggest common factor number is the GCF number.
So the greatest common factor 160,580,774 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 48/160, 848/580, 233/774

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 48/160, 848/580, 233/774?

Answer: LCM of Numerators as per given numbers 48/160, 848/580, 233/774 is

LCM of Numerators i.e. for 48,848,233 is 592752

GCF of denominators i.e. for 160,580,774 is 2.

Thus, LCM of Fractions is 296376.Finally, LCM of Fractions for 48/160, 848/580, 233/774 is 296376.