Least Common Multiple of 320/892, 230/873, 501/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/892, 230/873, 501/460 quickly i.e. 3687360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/892, 230/873, 501/460 is 3687360.

LCM(320/892, 230/873, 501/460) = 3687360

LCM of 320/892, 230/873, 501/460

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 320/892,230/873,501/460

Given numbers are 320/892,230/873,501/460

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 320,230,501

Least Common Multiple of Numerators i.e. LCM of 320,230,501 is 3687360.

GCF of Denominators means GCF of 892,873,460 as per the given fractions.

GCF of 892,873,460 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,230,501

LCM of Fractions 320/892,230/873,501/460 is 3687360

2 320, 230, 501
5 160, 115, 501
32, 23, 501

∴ So the LCM of the given numbers is 2 x 5 x 32 x 23 x 501 = 3687360

Least Common Multiple of 320,230,501 with GCF Formula

Least Common Multiple of 320,230,501 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 320,230,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,230,501) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(320,230,501) x common factors =1 x 10 = 10

LCM(320,230,501) = ( 320 × 230 × 501 ) / 10

LCM(320,230,501) = 36873600 / 10

LCM(320,230,501) = 3687360


Lets's calculate GCF of 892,873,460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3687360/1

Therefore the LCM of Fractions 320/892,230/873,501/460 is 3687360

Greatest Common Factor of 892,873,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,873,460 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 892,873,460 . The biggest common factor number is the GCF number.
So the greatest common factor 892,873,460 is 1.


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 320/892, 230/873, 501/460

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 320/892, 230/873, 501/460?

Answer: LCM of Numerators as per given numbers 320/892, 230/873, 501/460 is

LCM of Numerators i.e. for 320,230,501 is 3687360

GCF of denominators i.e. for 892,873,460 is 1.

Thus, LCM of Fractions is 3687360.Finally, LCM of Fractions for 320/892, 230/873, 501/460 is 3687360.