Least Common Multiple of 53/874, 16/390, 379/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/874, 16/390, 379/432 quickly i.e. 160696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/874, 16/390, 379/432 is 160696.

LCM(53/874, 16/390, 379/432) = 160696

LCM of 53/874, 16/390, 379/432

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 53/874,16/390,379/432

Given numbers are 53/874,16/390,379/432

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 53,16,379

Least Common Multiple of Numerators i.e. LCM of 53,16,379 is 321392.

GCF of Denominators means GCF of 874,390,432 as per the given fractions.

GCF of 874,390,432 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,16,379

LCM of Fractions 53/874,16/390,379/432 is 160696

Given numbers has no common factors except 1. So, there LCM is their product i.e 321392

Least Common Multiple of 53,16,379 with GCF Formula

Least Common Multiple of 53,16,379 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 53,16,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,16,379) = 1

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

GCF(53,16,379) x common factors =1 x 1 = 1

LCM(53,16,379) = ( 53 × 16 × 379 ) / 1

LCM(53,16,379) = 321392 / 1

LCM(53,16,379) = 321392


Lets's calculate GCF of 874,390,432

2 874, 390, 432
437, 195, 216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 321392/2

Therefore the LCM of Fractions 53/874,16/390,379/432 is 160696

Greatest Common Factor of 874,390,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,390,432 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 874,390,432 . The biggest common factor number is the GCF number.
So the greatest common factor 874,390,432 is 2.


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 53/874, 16/390, 379/432

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 53/874, 16/390, 379/432?

Answer: LCM of Numerators as per given numbers 53/874, 16/390, 379/432 is

LCM of Numerators i.e. for 53,16,379 is 321392

GCF of denominators i.e. for 874,390,432 is 2.

Thus, LCM of Fractions is 160696.Finally, LCM of Fractions for 53/874, 16/390, 379/432 is 160696.