Least Common Multiple of 67/49, 66/33, 603/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/49, 66/33, 603/407 quickly i.e. 13266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/49, 66/33, 603/407 is 13266.

LCM(67/49, 66/33, 603/407) = 13266

LCM of 67/49, 66/33, 603/407

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 67/49,66/33,603/407

Given numbers are 67/49,66/33,603/407

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 67,66,603

Least Common Multiple of Numerators i.e. LCM of 67,66,603 is 13266.

GCF of Denominators means GCF of 49,33,407 as per the given fractions.

GCF of 49,33,407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,66,603

LCM of Fractions 67/49,66/33,603/407 is 13266

3 67, 66, 603
67 67, 22, 201
1, 22, 3

∴ So the LCM of the given numbers is 3 x 67 x 1 x 22 x 3 = 13266

Least Common Multiple of 67,66,603 with GCF Formula

Least Common Multiple of 67,66,603 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 67,66,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,66,603) = 1

common factors(in case of two or more numbers have common factors) = 201

GCF(67,66,603) x common factors =1 x 201 = 201

LCM(67,66,603) = ( 67 × 66 × 603 ) / 201

LCM(67,66,603) = 2666466 / 201

LCM(67,66,603) = 13266


Lets's calculate GCF of 49,33,407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13266/1

Therefore the LCM of Fractions 67/49,66/33,603/407 is 13266

Greatest Common Factor of 49,33,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,33,407 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 49,33,407 . The biggest common factor number is the GCF number.
So the greatest common factor 49,33,407 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 67/49, 66/33, 603/407

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 67/49, 66/33, 603/407?

Answer: LCM of Numerators as per given numbers 67/49, 66/33, 603/407 is

LCM of Numerators i.e. for 67,66,603 is 13266

GCF of denominators i.e. for 49,33,407 is 1.

Thus, LCM of Fractions is 13266.Finally, LCM of Fractions for 67/49, 66/33, 603/407 is 13266.