Least Common Multiple of 22/725, 32/717, 497/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/725, 32/717, 497/178 quickly i.e. 174944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/725, 32/717, 497/178 is 174944.

LCM(22/725, 32/717, 497/178) = 174944

LCM of 22/725, 32/717, 497/178

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 22/725,32/717,497/178

Given numbers are 22/725,32/717,497/178

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 22,32,497

Least Common Multiple of Numerators i.e. LCM of 22,32,497 is 174944.

GCF of Denominators means GCF of 725,717,178 as per the given fractions.

GCF of 725,717,178 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,32,497

LCM of Fractions 22/725,32/717,497/178 is 174944

2 22, 32, 497
11, 16, 497

∴ So the LCM of the given numbers is 2 x 11 x 16 x 497 = 174944

Least Common Multiple of 22,32,497 with GCF Formula

Least Common Multiple of 22,32,497 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 22,32,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,32,497) = 1

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

GCF(22,32,497) x common factors =1 x 2 = 2

LCM(22,32,497) = ( 22 × 32 × 497 ) / 2

LCM(22,32,497) = 349888 / 2

LCM(22,32,497) = 174944


Lets's calculate GCF of 725,717,178

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174944/1

Therefore the LCM of Fractions 22/725,32/717,497/178 is 174944

Greatest Common Factor of 725,717,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,717,178 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 725,717,178 . The biggest common factor number is the GCF number.
So the greatest common factor 725,717,178 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 22/725, 32/717, 497/178

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 22/725, 32/717, 497/178?

Answer: LCM of Numerators as per given numbers 22/725, 32/717, 497/178 is

LCM of Numerators i.e. for 22,32,497 is 174944

GCF of denominators i.e. for 725,717,178 is 1.

Thus, LCM of Fractions is 174944.Finally, LCM of Fractions for 22/725, 32/717, 497/178 is 174944.