Least Common Multiple of 723/298, 179/387, 578/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 723/298, 179/387, 578/463 quickly i.e. 74803026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 723/298, 179/387, 578/463 is 74803026.

LCM(723/298, 179/387, 578/463) = 74803026

LCM of 723/298, 179/387, 578/463

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 723/298,179/387,578/463

Given numbers are 723/298,179/387,578/463

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 723,179,578

Least Common Multiple of Numerators i.e. LCM of 723,179,578 is 74803026.

GCF of Denominators means GCF of 298,387,463 as per the given fractions.

GCF of 298,387,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 723,179,578

LCM of Fractions 723/298,179/387,578/463 is 74803026

Given numbers has no common factors except 1. So, there LCM is their product i.e 74803026

Least Common Multiple of 723,179,578 with GCF Formula

Least Common Multiple of 723,179,578 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 723,179,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,179,578) = 1

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

GCF(723,179,578) x common factors =1 x 1 = 1

LCM(723,179,578) = ( 723 × 179 × 578 ) / 1

LCM(723,179,578) = 74803026 / 1

LCM(723,179,578) = 74803026


Lets's calculate GCF of 298,387,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74803026/1

Therefore the LCM of Fractions 723/298,179/387,578/463 is 74803026

Greatest Common Factor of 298,387,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,387,463 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 298,387,463 . The biggest common factor number is the GCF number.
So the greatest common factor 298,387,463 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 723/298, 179/387, 578/463

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 723/298, 179/387, 578/463?

Answer: LCM of Numerators as per given numbers 723/298, 179/387, 578/463 is

LCM of Numerators i.e. for 723,179,578 is 74803026

GCF of denominators i.e. for 298,387,463 is 1.

Thus, LCM of Fractions is 74803026.Finally, LCM of Fractions for 723/298, 179/387, 578/463 is 74803026.