Least Common Multiple of 512/437, 2460/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/437, 2460/966 quickly i.e. 314880/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/437, 2460/966 is 314880/23.

LCM(512/437, 2460/966) = 314880/23

LCM of 512/437, 2460/966

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 512/437,2460/966

Given numbers are 512/437,2460/966

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 512,2460

Least Common Multiple of Numerators i.e. LCM of 512,2460 is 314880.

GCF of Denominators means GCF of 437,966 as per the given fractions.

GCF of 437,966 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,2460

LCM of Fractions 512/437,2460/966 is 314880/23

2 512, 2460
2 256, 1230
128, 615

∴ So the LCM of the given numbers is 2 x 2 x 128 x 615 = 314880

Least Common Multiple of 512,2460 with GCF Formula

Least Common Multiple of 512,2460 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 512,2460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,2460) = 4

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

GCF(512,2460) x common factors =4 x 1 = 4

LCM(512,2460) = ( 512 × 2460 ) / 4

LCM(512,2460) = 1259520 / 4

LCM(512,2460) = 314880


Lets's calculate GCF of 437,966

23 437, 966
19, 42

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314880/23

Therefore the LCM of Fractions 512/437,2460/966 is 314880/23

Greatest Common Factor of 437,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,966 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 437,966 . The biggest common factor number is the GCF number.
So the greatest common factor 437,966 is 23.


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 512/437, 2460/966

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 512/437, 2460/966?

Answer: LCM of Numerators as per given numbers 512/437, 2460/966 is

LCM of Numerators i.e. for 512,2460 is 314880

GCF of denominators i.e. for 437,966 is 23.

Thus, LCM of Fractions is 314880/23.Finally, LCM of Fractions for 512/437, 2460/966 is 314880/23.