Least Common Multiple of 32/723, 705/421, 661/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/723, 705/421, 661/176 quickly i.e. 14912160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/723, 705/421, 661/176 is 14912160.

LCM(32/723, 705/421, 661/176) = 14912160

LCM of 32/723, 705/421, 661/176

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 32/723,705/421,661/176

Given numbers are 32/723,705/421,661/176

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 32,705,661

Least Common Multiple of Numerators i.e. LCM of 32,705,661 is 14912160.

GCF of Denominators means GCF of 723,421,176 as per the given fractions.

GCF of 723,421,176 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,705,661

LCM of Fractions 32/723,705/421,661/176 is 14912160

Given numbers has no common factors except 1. So, there LCM is their product i.e 14912160

Least Common Multiple of 32,705,661 with GCF Formula

Least Common Multiple of 32,705,661 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 32,705,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,705,661) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(32,705,661) x common factors =1 x 1 = 1

LCM(32,705,661) = ( 32 × 705 × 661 ) / 1

LCM(32,705,661) = 14912160 / 1

LCM(32,705,661) = 14912160


Lets's calculate GCF of 723,421,176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14912160/1

Therefore the LCM of Fractions 32/723,705/421,661/176 is 14912160

Greatest Common Factor of 723,421,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,421,176 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 723,421,176 . The biggest common factor number is the GCF number.
So the greatest common factor 723,421,176 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 32/723, 705/421, 661/176

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 32/723, 705/421, 661/176?

Answer: LCM of Numerators as per given numbers 32/723, 705/421, 661/176 is

LCM of Numerators i.e. for 32,705,661 is 14912160

GCF of denominators i.e. for 723,421,176 is 1.

Thus, LCM of Fractions is 14912160.Finally, LCM of Fractions for 32/723, 705/421, 661/176 is 14912160.