Least Common Multiple of 674/580, 848/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 674/580, 848/133 quickly i.e. 285776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/580, 848/133 is 285776.

LCM(674/580, 848/133) = 285776

LCM of 674/580, 848/133

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 674/580,848/133

Given numbers are 674/580,848/133

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 674,848

Least Common Multiple of Numerators i.e. LCM of 674,848 is 285776.

GCF of Denominators means GCF of 580,133 as per the given fractions.

GCF of 580,133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,848

LCM of Fractions 674/580,848/133 is 285776

2 674, 848
337, 424

∴ So the LCM of the given numbers is 2 x 337 x 424 = 285776

Least Common Multiple of 674,848 with GCF Formula

Least Common Multiple of 674,848 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 674,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,848) = 2

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

GCF(674,848) x common factors =2 x 1 = 2

LCM(674,848) = ( 674 × 848 ) / 2

LCM(674,848) = 571552 / 2

LCM(674,848) = 285776


Lets's calculate GCF of 580,133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285776/1

Therefore the LCM of Fractions 674/580,848/133 is 285776

Greatest Common Factor of 580,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,133 By Matching Biggest Common Factor Method

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 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 580,133 . The biggest common factor number is the GCF number.
So the greatest common factor 580,133 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 674/580, 848/133

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 674/580, 848/133?

Answer: LCM of Numerators as per given numbers 674/580, 848/133 is

LCM of Numerators i.e. for 674,848 is 285776

GCF of denominators i.e. for 580,133 is 1.

Thus, LCM of Fractions is 285776.Finally, LCM of Fractions for 674/580, 848/133 is 285776.