Least Common Multiple of 30/133, 827/945, 168/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/133, 827/945, 168/938 quickly i.e. 99240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/133, 827/945, 168/938 is 99240.

LCM(30/133, 827/945, 168/938) = 99240

LCM of 30/133, 827/945, 168/938

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 30/133,827/945,168/938

Given numbers are 30/133,827/945,168/938

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 30,827,168

Least Common Multiple of Numerators i.e. LCM of 30,827,168 is 694680.

GCF of Denominators means GCF of 133,945,938 as per the given fractions.

GCF of 133,945,938 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,827,168

LCM of Fractions 30/133,827/945,168/938 is 99240

2 30, 827, 168
3 15, 827, 84
5, 827, 28

∴ So the LCM of the given numbers is 2 x 3 x 5 x 827 x 28 = 694680

Least Common Multiple of 30,827,168 with GCF Formula

Least Common Multiple of 30,827,168 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 30,827,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,827,168) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(30,827,168) x common factors =1 x 6 = 6

LCM(30,827,168) = ( 30 × 827 × 168 ) / 6

LCM(30,827,168) = 4168080 / 6

LCM(30,827,168) = 694680


Lets's calculate GCF of 133,945,938

7 133, 945, 938
19, 135, 134

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 694680/7

Therefore the LCM of Fractions 30/133,827/945,168/938 is 99240

Greatest Common Factor of 133,945,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,945,938 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 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 133,945,938 . The biggest common factor number is the GCF number.
So the greatest common factor 133,945,938 is 7.


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 30/133, 827/945, 168/938

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 30/133, 827/945, 168/938?

Answer: LCM of Numerators as per given numbers 30/133, 827/945, 168/938 is

LCM of Numerators i.e. for 30,827,168 is 694680

GCF of denominators i.e. for 133,945,938 is 7.

Thus, LCM of Fractions is 99240.Finally, LCM of Fractions for 30/133, 827/945, 168/938 is 99240.