Least Common Multiple of 456/56, 365/53, 365/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/56, 365/53, 365/447 quickly i.e. 166440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/56, 365/53, 365/447 is 166440.

LCM(456/56, 365/53, 365/447) = 166440

LCM of 456/56, 365/53, 365/447

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 456/56,365/53,365/447

Given numbers are 456/56,365/53,365/447

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 456,365,365

Least Common Multiple of Numerators i.e. LCM of 456,365,365 is 166440.

GCF of Denominators means GCF of 56,53,447 as per the given fractions.

GCF of 56,53,447 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,365,365

LCM of Fractions 456/56,365/53,365/447 is 166440

5 456, 365, 365
73 456, 73, 73
456, 1, 1

∴ So the LCM of the given numbers is 5 x 73 x 456 x 1 x 1 = 166440

Least Common Multiple of 456,365,365 with GCF Formula

Least Common Multiple of 456,365,365 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 456,365,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,365,365) = 1

common factors(in case of two or more numbers have common factors) = 365

GCF(456,365,365) x common factors =1 x 365 = 365

LCM(456,365,365) = ( 456 × 365 × 365 ) / 365

LCM(456,365,365) = 60750600 / 365

LCM(456,365,365) = 166440


Lets's calculate GCF of 56,53,447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166440/1

Therefore the LCM of Fractions 456/56,365/53,365/447 is 166440

Greatest Common Factor of 56,53,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,53,447 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 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 56,53,447 . The biggest common factor number is the GCF number.
So the greatest common factor 56,53,447 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 456/56, 365/53, 365/447

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 456/56, 365/53, 365/447?

Answer: LCM of Numerators as per given numbers 456/56, 365/53, 365/447 is

LCM of Numerators i.e. for 456,365,365 is 166440

GCF of denominators i.e. for 56,53,447 is 1.

Thus, LCM of Fractions is 166440.Finally, LCM of Fractions for 456/56, 365/53, 365/447 is 166440.