Least Common Multiple of 1/392, 52/642, 71/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/392, 52/642, 71/446 quickly i.e. 1846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/392, 52/642, 71/446 is 1846.

LCM(1/392, 52/642, 71/446) = 1846

LCM of 1/392, 52/642, 71/446

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 1/392,52/642,71/446

Given numbers are 1/392,52/642,71/446

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 1,52,71

Least Common Multiple of Numerators i.e. LCM of 1,52,71 is 3692.

GCF of Denominators means GCF of 392,642,446 as per the given fractions.

GCF of 392,642,446 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,52,71

LCM of Fractions 1/392,52/642,71/446 is 1846

Given numbers has no common factors except 1. So, there LCM is their product i.e 3692

Least Common Multiple of 1,52,71 with GCF Formula

Least Common Multiple of 1,52,71 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 1,52,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,52,71) = 1

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

GCF(1,52,71) x common factors =1 x 1 = 1

LCM(1,52,71) = ( 1 × 52 × 71 ) / 1

LCM(1,52,71) = 3692 / 1

LCM(1,52,71) = 3692


Lets's calculate GCF of 392,642,446

2 392, 642, 446
196, 321, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3692/2

Therefore the LCM of Fractions 1/392,52/642,71/446 is 1846

Greatest Common Factor of 392,642,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,642,446 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 392,642,446 . The biggest common factor number is the GCF number.
So the greatest common factor 392,642,446 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 1/392, 52/642, 71/446

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 1/392, 52/642, 71/446?

Answer: LCM of Numerators as per given numbers 1/392, 52/642, 71/446 is

LCM of Numerators i.e. for 1,52,71 is 3692

GCF of denominators i.e. for 392,642,446 is 2.

Thus, LCM of Fractions is 1846.Finally, LCM of Fractions for 1/392, 52/642, 71/446 is 1846.