Least Common Multiple of 74/133, 66/431, 781/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/133, 66/431, 781/124 quickly i.e. 173382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/133, 66/431, 781/124 is 173382.

LCM(74/133, 66/431, 781/124) = 173382

LCM of 74/133, 66/431, 781/124

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 74/133,66/431,781/124

Given numbers are 74/133,66/431,781/124

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 74,66,781

Least Common Multiple of Numerators i.e. LCM of 74,66,781 is 173382.

GCF of Denominators means GCF of 133,431,124 as per the given fractions.

GCF of 133,431,124 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,66,781

LCM of Fractions 74/133,66/431,781/124 is 173382

2 74, 66, 781
11 37, 33, 781
37, 3, 71

∴ So the LCM of the given numbers is 2 x 11 x 37 x 3 x 71 = 173382

Least Common Multiple of 74,66,781 with GCF Formula

Least Common Multiple of 74,66,781 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 74,66,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,66,781) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(74,66,781) x common factors =1 x 22 = 22

LCM(74,66,781) = ( 74 × 66 × 781 ) / 22

LCM(74,66,781) = 3814404 / 22

LCM(74,66,781) = 173382


Lets's calculate GCF of 133,431,124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173382/1

Therefore the LCM of Fractions 74/133,66/431,781/124 is 173382

Greatest Common Factor of 133,431,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,431,124 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 133,431,124 . The biggest common factor number is the GCF number.
So the greatest common factor 133,431,124 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 74/133, 66/431, 781/124

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 74/133, 66/431, 781/124?

Answer: LCM of Numerators as per given numbers 74/133, 66/431, 781/124 is

LCM of Numerators i.e. for 74,66,781 is 173382

GCF of denominators i.e. for 133,431,124 is 1.

Thus, LCM of Fractions is 173382.Finally, LCM of Fractions for 74/133, 66/431, 781/124 is 173382.