Least Common Multiple of 924/16, 283/14, 269/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 924/16, 283/14, 269/640 quickly i.e. 35170674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 924/16, 283/14, 269/640 is 35170674.

LCM(924/16, 283/14, 269/640) = 35170674

LCM of 924/16, 283/14, 269/640

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 924/16,283/14,269/640

Given numbers are 924/16,283/14,269/640

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 924,283,269

Least Common Multiple of Numerators i.e. LCM of 924,283,269 is 70341348.

GCF of Denominators means GCF of 16,14,640 as per the given fractions.

GCF of 16,14,640 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 924,283,269

LCM of Fractions 924/16,283/14,269/640 is 35170674

Given numbers has no common factors except 1. So, there LCM is their product i.e 70341348

Least Common Multiple of 924,283,269 with GCF Formula

Least Common Multiple of 924,283,269 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 924,283,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,283,269) = 1

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

GCF(924,283,269) x common factors =1 x 1 = 1

LCM(924,283,269) = ( 924 × 283 × 269 ) / 1

LCM(924,283,269) = 70341348 / 1

LCM(924,283,269) = 70341348


Lets's calculate GCF of 16,14,640

2 16, 14, 640
8, 7, 320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70341348/2

Therefore the LCM of Fractions 924/16,283/14,269/640 is 35170674

Greatest Common Factor of 16,14,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,14,640 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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 16,14,640 . The biggest common factor number is the GCF number.
So the greatest common factor 16,14,640 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 924/16, 283/14, 269/640

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 924/16, 283/14, 269/640?

Answer: LCM of Numerators as per given numbers 924/16, 283/14, 269/640 is

LCM of Numerators i.e. for 924,283,269 is 70341348

GCF of denominators i.e. for 16,14,640 is 2.

Thus, LCM of Fractions is 35170674.Finally, LCM of Fractions for 924/16, 283/14, 269/640 is 35170674.