Least Common Multiple of 164/28, 7383/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 164/28, 7383/460 quickly i.e. 302703 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 164/28, 7383/460 is 302703.

LCM(164/28, 7383/460) = 302703

LCM of 164/28, 7383/460

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 164/28,7383/460

Given numbers are 164/28,7383/460

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 164,7383

Least Common Multiple of Numerators i.e. LCM of 164,7383 is 1210812.

GCF of Denominators means GCF of 28,460 as per the given fractions.

GCF of 28,460 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 164,7383

LCM of Fractions 164/28,7383/460 is 302703

Given numbers has no common factors except 1. So, there LCM is their product i.e 1210812

Least Common Multiple of 164,7383 with GCF Formula

Least Common Multiple of 164,7383 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 164,7383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,7383) = 1

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

GCF(164,7383) x common factors =1 x 1 = 1

LCM(164,7383) = ( 164 × 7383 ) / 1

LCM(164,7383) = 1210812 / 1

LCM(164,7383) = 1210812


Lets's calculate GCF of 28,460

2 28, 460
2 14, 230
7, 115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1210812/4

Therefore the LCM of Fractions 164/28,7383/460 is 302703

Greatest Common Factor of 28,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,460 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

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 28,460 . The biggest common factor number is the GCF number.
So the greatest common factor 28,460 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 164/28, 7383/460

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 164/28, 7383/460?

Answer: LCM of Numerators as per given numbers 164/28, 7383/460 is

LCM of Numerators i.e. for 164,7383 is 1210812

GCF of denominators i.e. for 28,460 is 4.

Thus, LCM of Fractions is 302703.Finally, LCM of Fractions for 164/28, 7383/460 is 302703.