Least Common Multiple of 467/16, 964/2745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 467/16, 964/2745 quickly i.e. 450188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 467/16, 964/2745 is 450188.

LCM(467/16, 964/2745) = 450188

LCM of 467/16, 964/2745

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 467/16,964/2745

Given numbers are 467/16,964/2745

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 467,964

Least Common Multiple of Numerators i.e. LCM of 467,964 is 450188.

GCF of Denominators means GCF of 16,2745 as per the given fractions.

GCF of 16,2745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 467,964

LCM of Fractions 467/16,964/2745 is 450188

Given numbers has no common factors except 1. So, there LCM is their product i.e 450188

Least Common Multiple of 467,964 with GCF Formula

Least Common Multiple of 467,964 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 467,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,964) = 1

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

GCF(467,964) x common factors =1 x 1 = 1

LCM(467,964) = ( 467 × 964 ) / 1

LCM(467,964) = 450188 / 1

LCM(467,964) = 450188


Lets's calculate GCF of 16,2745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450188/1

Therefore the LCM of Fractions 467/16,964/2745 is 450188

Greatest Common Factor of 16,2745 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,2745 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 2745

List of positive integer factors of 2745 that divides 2745 without a remainder.

1,3,5,9,15,45,61,183,305,549,915,2745

Greatest Common Factor

We found the factors 16,2745 . The biggest common factor number is the GCF number.
So the greatest common factor 16,2745 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 467/16, 964/2745

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 467/16, 964/2745?

Answer: LCM of Numerators as per given numbers 467/16, 964/2745 is

LCM of Numerators i.e. for 467,964 is 450188

GCF of denominators i.e. for 16,2745 is 1.

Thus, LCM of Fractions is 450188.Finally, LCM of Fractions for 467/16, 964/2745 is 450188.