Least Common Multiple of 480/257, 7457/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/257, 7457/466 quickly i.e. 3579360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/257, 7457/466 is 3579360.

LCM(480/257, 7457/466) = 3579360

LCM of 480/257, 7457/466

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 480/257,7457/466

Given numbers are 480/257,7457/466

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 480,7457

Least Common Multiple of Numerators i.e. LCM of 480,7457 is 3579360.

GCF of Denominators means GCF of 257,466 as per the given fractions.

GCF of 257,466 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,7457

LCM of Fractions 480/257,7457/466 is 3579360

Given numbers has no common factors except 1. So, there LCM is their product i.e 3579360

Least Common Multiple of 480,7457 with GCF Formula

Least Common Multiple of 480,7457 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 480,7457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,7457) = 1

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

GCF(480,7457) x common factors =1 x 1 = 1

LCM(480,7457) = ( 480 × 7457 ) / 1

LCM(480,7457) = 3579360 / 1

LCM(480,7457) = 3579360


Lets's calculate GCF of 257,466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3579360/1

Therefore the LCM of Fractions 480/257,7457/466 is 3579360

Greatest Common Factor of 257,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 257,466 By Matching Biggest Common Factor Method

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

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 257,466 . The biggest common factor number is the GCF number.
So the greatest common factor 257,466 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 480/257, 7457/466

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 480/257, 7457/466?

Answer: LCM of Numerators as per given numbers 480/257, 7457/466 is

LCM of Numerators i.e. for 480,7457 is 3579360

GCF of denominators i.e. for 257,466 is 1.

Thus, LCM of Fractions is 3579360.Finally, LCM of Fractions for 480/257, 7457/466 is 3579360.