Least Common Multiple of 14/56, 465/78, 239/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 14/56, 465/78, 239/327 quickly i.e. 1555890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/56, 465/78, 239/327 is 1555890.

LCM(14/56, 465/78, 239/327) = 1555890

LCM of 14/56, 465/78, 239/327

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 14/56,465/78,239/327

Given numbers are 14/56,465/78,239/327

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 14,465,239

Least Common Multiple of Numerators i.e. LCM of 14,465,239 is 1555890.

GCF of Denominators means GCF of 56,78,327 as per the given fractions.

GCF of 56,78,327 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,465,239

LCM of Fractions 14/56,465/78,239/327 is 1555890

Given numbers has no common factors except 1. So, there LCM is their product i.e 1555890

Least Common Multiple of 14,465,239 with GCF Formula

Least Common Multiple of 14,465,239 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 14,465,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,465,239) = 1

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

GCF(14,465,239) x common factors =1 x 1 = 1

LCM(14,465,239) = ( 14 × 465 × 239 ) / 1

LCM(14,465,239) = 1555890 / 1

LCM(14,465,239) = 1555890


Lets's calculate GCF of 56,78,327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1555890/1

Therefore the LCM of Fractions 14/56,465/78,239/327 is 1555890

Greatest Common Factor of 56,78,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,78,327 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 56,78,327 . The biggest common factor number is the GCF number.
So the greatest common factor 56,78,327 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 14/56, 465/78, 239/327

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 14/56, 465/78, 239/327?

Answer: LCM of Numerators as per given numbers 14/56, 465/78, 239/327 is

LCM of Numerators i.e. for 14,465,239 is 1555890

GCF of denominators i.e. for 56,78,327 is 1.

Thus, LCM of Fractions is 1555890.Finally, LCM of Fractions for 14/56, 465/78, 239/327 is 1555890.