Least Common Multiple of 74/550, 16/385, 113/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/550, 16/385, 113/253 quickly i.e. 66896/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/550, 16/385, 113/253 is 66896/11.

LCM(74/550, 16/385, 113/253) = 66896/11

LCM of 74/550, 16/385, 113/253

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 74/550,16/385,113/253

Given numbers are 74/550,16/385,113/253

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 74,16,113

Least Common Multiple of Numerators i.e. LCM of 74,16,113 is 66896.

GCF of Denominators means GCF of 550,385,253 as per the given fractions.

GCF of 550,385,253 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,16,113

LCM of Fractions 74/550,16/385,113/253 is 66896/11

2 74, 16, 113
37, 8, 113

∴ So the LCM of the given numbers is 2 x 37 x 8 x 113 = 66896

Least Common Multiple of 74,16,113 with GCF Formula

Least Common Multiple of 74,16,113 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 74,16,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,16,113) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,16,113) x common factors =1 x 2 = 2

LCM(74,16,113) = ( 74 × 16 × 113 ) / 2

LCM(74,16,113) = 133792 / 2

LCM(74,16,113) = 66896


Lets's calculate GCF of 550,385,253

11 550, 385, 253
50, 35, 23

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66896/11

Therefore the LCM of Fractions 74/550,16/385,113/253 is 66896/11

Greatest Common Factor of 550,385,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,385,253 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 550,385,253 . The biggest common factor number is the GCF number.
So the greatest common factor 550,385,253 is 11.


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 74/550, 16/385, 113/253

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 74/550, 16/385, 113/253?

Answer: LCM of Numerators as per given numbers 74/550, 16/385, 113/253 is

LCM of Numerators i.e. for 74,16,113 is 66896

GCF of denominators i.e. for 550,385,253 is 11.

Thus, LCM of Fractions is 66896/11.Finally, LCM of Fractions for 74/550, 16/385, 113/253 is 66896/11.