Least Common Multiple of 831/280, 933/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 831/280, 933/525 quickly i.e. 258441/35 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 831/280, 933/525 is 258441/35.

LCM(831/280, 933/525) = 258441/35

LCM of 831/280, 933/525

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 831/280,933/525

Given numbers are 831/280,933/525

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 831,933

Least Common Multiple of Numerators i.e. LCM of 831,933 is 258441.

GCF of Denominators means GCF of 280,525 as per the given fractions.

GCF of 280,525 is 35 as it is the largest common factor for these numbers.

Lets's calculate LCM of 831,933

LCM of Fractions 831/280,933/525 is 258441/35

3 831, 933
277, 311

∴ So the LCM of the given numbers is 3 x 277 x 311 = 258441

Least Common Multiple of 831,933 with GCF Formula

Least Common Multiple of 831,933 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 831,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,933) = 3

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

GCF(831,933) x common factors =3 x 1 = 3

LCM(831,933) = ( 831 × 933 ) / 3

LCM(831,933) = 775323 / 3

LCM(831,933) = 258441


Lets's calculate GCF of 280,525

5 280, 525
7 56, 105
8, 15

∴ So the GCF of the given numbers is 5 x 7 = 35

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258441/35

Therefore the LCM of Fractions 831/280,933/525 is 258441/35

Greatest Common Factor of 280,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,525 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 280,525 . The biggest common factor number is the GCF number.
So the greatest common factor 280,525 is 35.


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 831/280, 933/525

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 831/280, 933/525?

Answer: LCM of Numerators as per given numbers 831/280, 933/525 is

LCM of Numerators i.e. for 831,933 is 258441

GCF of denominators i.e. for 280,525 is 35.

Thus, LCM of Fractions is 258441/35.Finally, LCM of Fractions for 831/280, 933/525 is 258441/35.