Least Common Multiple of 67/792, 13/662, 674/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/792, 13/662, 674/450 quickly i.e. 293527 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/792, 13/662, 674/450 is 293527.

LCM(67/792, 13/662, 674/450) = 293527

LCM of 67/792, 13/662, 674/450

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 67/792,13/662,674/450

Given numbers are 67/792,13/662,674/450

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 67,13,674

Least Common Multiple of Numerators i.e. LCM of 67,13,674 is 587054.

GCF of Denominators means GCF of 792,662,450 as per the given fractions.

GCF of 792,662,450 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,13,674

LCM of Fractions 67/792,13/662,674/450 is 293527

Given numbers has no common factors except 1. So, there LCM is their product i.e 587054

Least Common Multiple of 67,13,674 with GCF Formula

Least Common Multiple of 67,13,674 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 67,13,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,13,674) = 1

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

GCF(67,13,674) x common factors =1 x 1 = 1

LCM(67,13,674) = ( 67 × 13 × 674 ) / 1

LCM(67,13,674) = 587054 / 1

LCM(67,13,674) = 587054


Lets's calculate GCF of 792,662,450

2 792, 662, 450
396, 331, 225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 587054/2

Therefore the LCM of Fractions 67/792,13/662,674/450 is 293527

Greatest Common Factor of 792,662,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,662,450 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 792,662,450 . The biggest common factor number is the GCF number.
So the greatest common factor 792,662,450 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 67/792, 13/662, 674/450

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 67/792, 13/662, 674/450?

Answer: LCM of Numerators as per given numbers 67/792, 13/662, 674/450 is

LCM of Numerators i.e. for 67,13,674 is 587054

GCF of denominators i.e. for 792,662,450 is 2.

Thus, LCM of Fractions is 293527.Finally, LCM of Fractions for 67/792, 13/662, 674/450 is 293527.