Least Common Multiple of 32/399, 74/723, 207/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/399, 74/723, 207/318 quickly i.e. 81696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/399, 74/723, 207/318 is 81696.

LCM(32/399, 74/723, 207/318) = 81696

LCM of 32/399, 74/723, 207/318

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 32/399,74/723,207/318

Given numbers are 32/399,74/723,207/318

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 32,74,207

Least Common Multiple of Numerators i.e. LCM of 32,74,207 is 245088.

GCF of Denominators means GCF of 399,723,318 as per the given fractions.

GCF of 399,723,318 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,74,207

LCM of Fractions 32/399,74/723,207/318 is 81696

2 32, 74, 207
16, 37, 207

∴ So the LCM of the given numbers is 2 x 16 x 37 x 207 = 245088

Least Common Multiple of 32,74,207 with GCF Formula

Least Common Multiple of 32,74,207 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 32,74,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,74,207) = 1

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

GCF(32,74,207) x common factors =1 x 2 = 2

LCM(32,74,207) = ( 32 × 74 × 207 ) / 2

LCM(32,74,207) = 490176 / 2

LCM(32,74,207) = 245088


Lets's calculate GCF of 399,723,318

3 399, 723, 318
133, 241, 106

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245088/3

Therefore the LCM of Fractions 32/399,74/723,207/318 is 81696

Greatest Common Factor of 399,723,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,723,318 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 399,723,318 . The biggest common factor number is the GCF number.
So the greatest common factor 399,723,318 is 3.


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 32/399, 74/723, 207/318

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 32/399, 74/723, 207/318?

Answer: LCM of Numerators as per given numbers 32/399, 74/723, 207/318 is

LCM of Numerators i.e. for 32,74,207 is 245088

GCF of denominators i.e. for 399,723,318 is 3.

Thus, LCM of Fractions is 81696.Finally, LCM of Fractions for 32/399, 74/723, 207/318 is 81696.