Least Common Multiple of 293/16, 940/33, 752/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 293/16, 940/33, 752/167 quickly i.e. 1101680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/16, 940/33, 752/167 is 1101680.

LCM(293/16, 940/33, 752/167) = 1101680

LCM of 293/16, 940/33, 752/167

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 293/16,940/33,752/167

Given numbers are 293/16,940/33,752/167

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 293,940,752

Least Common Multiple of Numerators i.e. LCM of 293,940,752 is 1101680.

GCF of Denominators means GCF of 16,33,167 as per the given fractions.

GCF of 16,33,167 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,940,752

LCM of Fractions 293/16,940/33,752/167 is 1101680

2 293, 940, 752
2 293, 470, 376
47 293, 235, 188
293, 5, 4

∴ So the LCM of the given numbers is 2 x 2 x 47 x 293 x 5 x 4 = 1101680

Least Common Multiple of 293,940,752 with GCF Formula

Least Common Multiple of 293,940,752 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 293,940,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,940,752) = 1

common factors(in case of two or more numbers have common factors) = 188

GCF(293,940,752) x common factors =1 x 188 = 188

LCM(293,940,752) = ( 293 × 940 × 752 ) / 188

LCM(293,940,752) = 207115840 / 188

LCM(293,940,752) = 1101680


Lets's calculate GCF of 16,33,167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1101680/1

Therefore the LCM of Fractions 293/16,940/33,752/167 is 1101680

Greatest Common Factor of 16,33,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,33,167 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 33

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

1,3,11,33

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 16,33,167 . The biggest common factor number is the GCF number.
So the greatest common factor 16,33,167 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 293/16, 940/33, 752/167

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 293/16, 940/33, 752/167?

Answer: LCM of Numerators as per given numbers 293/16, 940/33, 752/167 is

LCM of Numerators i.e. for 293,940,752 is 1101680

GCF of denominators i.e. for 16,33,167 is 1.

Thus, LCM of Fractions is 1101680.Finally, LCM of Fractions for 293/16, 940/33, 752/167 is 1101680.