Least Common Multiple of 53/985, 66/706, 584/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/985, 66/706, 584/992 quickly i.e. 1021416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/985, 66/706, 584/992 is 1021416.

LCM(53/985, 66/706, 584/992) = 1021416

LCM of 53/985, 66/706, 584/992

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 53/985,66/706,584/992

Given numbers are 53/985,66/706,584/992

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 53,66,584

Least Common Multiple of Numerators i.e. LCM of 53,66,584 is 1021416.

GCF of Denominators means GCF of 985,706,992 as per the given fractions.

GCF of 985,706,992 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,66,584

LCM of Fractions 53/985,66/706,584/992 is 1021416

2 53, 66, 584
53, 33, 292

∴ So the LCM of the given numbers is 2 x 53 x 33 x 292 = 1021416

Least Common Multiple of 53,66,584 with GCF Formula

Least Common Multiple of 53,66,584 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 53,66,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,66,584) = 1

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

GCF(53,66,584) x common factors =1 x 2 = 2

LCM(53,66,584) = ( 53 × 66 × 584 ) / 2

LCM(53,66,584) = 2042832 / 2

LCM(53,66,584) = 1021416


Lets's calculate GCF of 985,706,992

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1021416/1

Therefore the LCM of Fractions 53/985,66/706,584/992 is 1021416

Greatest Common Factor of 985,706,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,706,992 By Matching Biggest Common Factor Method

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 985,706,992 . The biggest common factor number is the GCF number.
So the greatest common factor 985,706,992 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 53/985, 66/706, 584/992

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 53/985, 66/706, 584/992?

Answer: LCM of Numerators as per given numbers 53/985, 66/706, 584/992 is

LCM of Numerators i.e. for 53,66,584 is 1021416

GCF of denominators i.e. for 985,706,992 is 1.

Thus, LCM of Fractions is 1021416.Finally, LCM of Fractions for 53/985, 66/706, 584/992 is 1021416.