Least Common Multiple of 16/584, 60/575, 761/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/584, 60/575, 761/744 quickly i.e. 182640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/584, 60/575, 761/744 is 182640.

LCM(16/584, 60/575, 761/744) = 182640

LCM of 16/584, 60/575, 761/744

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 16/584,60/575,761/744

Given numbers are 16/584,60/575,761/744

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 16,60,761

Least Common Multiple of Numerators i.e. LCM of 16,60,761 is 182640.

GCF of Denominators means GCF of 584,575,744 as per the given fractions.

GCF of 584,575,744 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,60,761

LCM of Fractions 16/584,60/575,761/744 is 182640

2 16, 60, 761
2 8, 30, 761
4, 15, 761

∴ So the LCM of the given numbers is 2 x 2 x 4 x 15 x 761 = 182640

Least Common Multiple of 16,60,761 with GCF Formula

Least Common Multiple of 16,60,761 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 16,60,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,60,761) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(16,60,761) x common factors =1 x 4 = 4

LCM(16,60,761) = ( 16 × 60 × 761 ) / 4

LCM(16,60,761) = 730560 / 4

LCM(16,60,761) = 182640


Lets's calculate GCF of 584,575,744

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182640/1

Therefore the LCM of Fractions 16/584,60/575,761/744 is 182640

Greatest Common Factor of 584,575,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,575,744 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 584,575,744 . The biggest common factor number is the GCF number.
So the greatest common factor 584,575,744 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 16/584, 60/575, 761/744

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 16/584, 60/575, 761/744?

Answer: LCM of Numerators as per given numbers 16/584, 60/575, 761/744 is

LCM of Numerators i.e. for 16,60,761 is 182640

GCF of denominators i.e. for 584,575,744 is 1.

Thus, LCM of Fractions is 182640.Finally, LCM of Fractions for 16/584, 60/575, 761/744 is 182640.