Least Common Multiple of 62/60, 403/20, 704/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/60, 403/20, 704/669 quickly i.e. 283712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/60, 403/20, 704/669 is 283712.

LCM(62/60, 403/20, 704/669) = 283712

LCM of 62/60, 403/20, 704/669

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 62/60,403/20,704/669

Given numbers are 62/60,403/20,704/669

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 62,403,704

Least Common Multiple of Numerators i.e. LCM of 62,403,704 is 283712.

GCF of Denominators means GCF of 60,20,669 as per the given fractions.

GCF of 60,20,669 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,403,704

LCM of Fractions 62/60,403/20,704/669 is 283712

2 62, 403, 704
31 31, 403, 352
1, 13, 352

∴ So the LCM of the given numbers is 2 x 31 x 1 x 13 x 352 = 283712

Least Common Multiple of 62,403,704 with GCF Formula

Least Common Multiple of 62,403,704 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 62,403,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,403,704) = 1

common factors(in case of two or more numbers have common factors) = 62

GCF(62,403,704) x common factors =1 x 62 = 62

LCM(62,403,704) = ( 62 × 403 × 704 ) / 62

LCM(62,403,704) = 17590144 / 62

LCM(62,403,704) = 283712


Lets's calculate GCF of 60,20,669

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 283712/1

Therefore the LCM of Fractions 62/60,403/20,704/669 is 283712

Greatest Common Factor of 60,20,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,20,669 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 60,20,669 . The biggest common factor number is the GCF number.
So the greatest common factor 60,20,669 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 62/60, 403/20, 704/669

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 62/60, 403/20, 704/669?

Answer: LCM of Numerators as per given numbers 62/60, 403/20, 704/669 is

LCM of Numerators i.e. for 62,403,704 is 283712

GCF of denominators i.e. for 60,20,669 is 1.

Thus, LCM of Fractions is 283712.Finally, LCM of Fractions for 62/60, 403/20, 704/669 is 283712.