Least Common Multiple of 382/746, 4579/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 382/746, 4579/648 quickly i.e. 874589 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/746, 4579/648 is 874589.

LCM(382/746, 4579/648) = 874589

LCM of 382/746, 4579/648

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 382/746,4579/648

Given numbers are 382/746,4579/648

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 382,4579

Least Common Multiple of Numerators i.e. LCM of 382,4579 is 1749178.

GCF of Denominators means GCF of 746,648 as per the given fractions.

GCF of 746,648 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,4579

LCM of Fractions 382/746,4579/648 is 874589

Given numbers has no common factors except 1. So, there LCM is their product i.e 1749178

Least Common Multiple of 382,4579 with GCF Formula

Least Common Multiple of 382,4579 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 382,4579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,4579) = 1

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

GCF(382,4579) x common factors =1 x 1 = 1

LCM(382,4579) = ( 382 × 4579 ) / 1

LCM(382,4579) = 1749178 / 1

LCM(382,4579) = 1749178


Lets's calculate GCF of 746,648

2 746, 648
373, 324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1749178/2

Therefore the LCM of Fractions 382/746,4579/648 is 874589

Greatest Common Factor of 746,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,648 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 746,648 . The biggest common factor number is the GCF number.
So the greatest common factor 746,648 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 382/746, 4579/648

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 382/746, 4579/648?

Answer: LCM of Numerators as per given numbers 382/746, 4579/648 is

LCM of Numerators i.e. for 382,4579 is 1749178

GCF of denominators i.e. for 746,648 is 2.

Thus, LCM of Fractions is 874589.Finally, LCM of Fractions for 382/746, 4579/648 is 874589.