Least Common Multiple of 144/796, 893/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/796, 893/928 quickly i.e. 32148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/796, 893/928 is 32148.

LCM(144/796, 893/928) = 32148

LCM of 144/796, 893/928

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 144/796,893/928

Given numbers are 144/796,893/928

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 144,893

Least Common Multiple of Numerators i.e. LCM of 144,893 is 128592.

GCF of Denominators means GCF of 796,928 as per the given fractions.

GCF of 796,928 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,893

LCM of Fractions 144/796,893/928 is 32148

Given numbers has no common factors except 1. So, there LCM is their product i.e 128592

Least Common Multiple of 144,893 with GCF Formula

Least Common Multiple of 144,893 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 144,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,893) = 1

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

GCF(144,893) x common factors =1 x 1 = 1

LCM(144,893) = ( 144 × 893 ) / 1

LCM(144,893) = 128592 / 1

LCM(144,893) = 128592


Lets's calculate GCF of 796,928

2 796, 928
2 398, 464
199, 232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128592/4

Therefore the LCM of Fractions 144/796,893/928 is 32148

Greatest Common Factor of 796,928 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,928 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Greatest Common Factor

We found the factors 796,928 . The biggest common factor number is the GCF number.
So the greatest common factor 796,928 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 144/796, 893/928

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 144/796, 893/928?

Answer: LCM of Numerators as per given numbers 144/796, 893/928 is

LCM of Numerators i.e. for 144,893 is 128592

GCF of denominators i.e. for 796,928 is 4.

Thus, LCM of Fractions is 32148.Finally, LCM of Fractions for 144/796, 893/928 is 32148.