Least Common Multiple of 32/194, 80/722, 506/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/194, 80/722, 506/992 quickly i.e. 20240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/194, 80/722, 506/992 is 20240.

LCM(32/194, 80/722, 506/992) = 20240

LCM of 32/194, 80/722, 506/992

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 32/194,80/722,506/992

Given numbers are 32/194,80/722,506/992

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 32,80,506

Least Common Multiple of Numerators i.e. LCM of 32,80,506 is 40480.

GCF of Denominators means GCF of 194,722,992 as per the given fractions.

GCF of 194,722,992 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,80,506

LCM of Fractions 32/194,80/722,506/992 is 20240

2 32, 80, 506
2 16, 40, 253
2 8, 20, 253
2 4, 10, 253
2, 5, 253

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 5 x 253 = 40480

Least Common Multiple of 32,80,506 with GCF Formula

Least Common Multiple of 32,80,506 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 32,80,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,80,506) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(32,80,506) x common factors =2 x 16 = 32

LCM(32,80,506) = ( 32 × 80 × 506 ) / 32

LCM(32,80,506) = 1295360 / 32

LCM(32,80,506) = 40480


Lets's calculate GCF of 194,722,992

2 194, 722, 992
97, 361, 496

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40480/2

Therefore the LCM of Fractions 32/194,80/722,506/992 is 20240

Greatest Common Factor of 194,722,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,722,992 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

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 194,722,992 . The biggest common factor number is the GCF number.
So the greatest common factor 194,722,992 is 2.


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 32/194, 80/722, 506/992

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 32/194, 80/722, 506/992?

Answer: LCM of Numerators as per given numbers 32/194, 80/722, 506/992 is

LCM of Numerators i.e. for 32,80,506 is 40480

GCF of denominators i.e. for 194,722,992 is 2.

Thus, LCM of Fractions is 20240.Finally, LCM of Fractions for 32/194, 80/722, 506/992 is 20240.