Least Common Multiple of 448/789, 3245/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 448/789, 3245/466 quickly i.e. 1453760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 448/789, 3245/466 is 1453760.

LCM(448/789, 3245/466) = 1453760

LCM of 448/789, 3245/466

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 448/789,3245/466

Given numbers are 448/789,3245/466

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 448,3245

Least Common Multiple of Numerators i.e. LCM of 448,3245 is 1453760.

GCF of Denominators means GCF of 789,466 as per the given fractions.

GCF of 789,466 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 448,3245

LCM of Fractions 448/789,3245/466 is 1453760

Given numbers has no common factors except 1. So, there LCM is their product i.e 1453760

Least Common Multiple of 448,3245 with GCF Formula

Least Common Multiple of 448,3245 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 448,3245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,3245) = 1

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

GCF(448,3245) x common factors =1 x 1 = 1

LCM(448,3245) = ( 448 × 3245 ) / 1

LCM(448,3245) = 1453760 / 1

LCM(448,3245) = 1453760


Lets's calculate GCF of 789,466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1453760/1

Therefore the LCM of Fractions 448/789,3245/466 is 1453760

Greatest Common Factor of 789,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,466 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 789,466 . The biggest common factor number is the GCF number.
So the greatest common factor 789,466 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 448/789, 3245/466

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 448/789, 3245/466?

Answer: LCM of Numerators as per given numbers 448/789, 3245/466 is

LCM of Numerators i.e. for 448,3245 is 1453760

GCF of denominators i.e. for 789,466 is 1.

Thus, LCM of Fractions is 1453760.Finally, LCM of Fractions for 448/789, 3245/466 is 1453760.