Least Common Multiple of 318/37, 724/52, 485/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/37, 724/52, 485/64 quickly i.e. 55831260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/37, 724/52, 485/64 is 55831260.

LCM(318/37, 724/52, 485/64) = 55831260

LCM of 318/37, 724/52, 485/64

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 318/37,724/52,485/64

Given numbers are 318/37,724/52,485/64

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 318,724,485

Least Common Multiple of Numerators i.e. LCM of 318,724,485 is 55831260.

GCF of Denominators means GCF of 37,52,64 as per the given fractions.

GCF of 37,52,64 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,724,485

LCM of Fractions 318/37,724/52,485/64 is 55831260

2 318, 724, 485
159, 362, 485

∴ So the LCM of the given numbers is 2 x 159 x 362 x 485 = 55831260

Least Common Multiple of 318,724,485 with GCF Formula

Least Common Multiple of 318,724,485 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 318,724,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,724,485) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(318,724,485) x common factors =1 x 2 = 2

LCM(318,724,485) = ( 318 × 724 × 485 ) / 2

LCM(318,724,485) = 111662520 / 2

LCM(318,724,485) = 55831260


Lets's calculate GCF of 37,52,64

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55831260/1

Therefore the LCM of Fractions 318/37,724/52,485/64 is 55831260

Greatest Common Factor of 37,52,64 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,52,64 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Greatest Common Factor

We found the factors 37,52,64 . The biggest common factor number is the GCF number.
So the greatest common factor 37,52,64 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 318/37, 724/52, 485/64

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 318/37, 724/52, 485/64?

Answer: LCM of Numerators as per given numbers 318/37, 724/52, 485/64 is

LCM of Numerators i.e. for 318,724,485 is 55831260

GCF of denominators i.e. for 37,52,64 is 1.

Thus, LCM of Fractions is 55831260.Finally, LCM of Fractions for 318/37, 724/52, 485/64 is 55831260.