Least Common Multiple of 224/814, 9265/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/814, 9265/168 quickly i.e. 1037680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/814, 9265/168 is 1037680.

LCM(224/814, 9265/168) = 1037680

LCM of 224/814, 9265/168

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 224/814,9265/168

Given numbers are 224/814,9265/168

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 224,9265

Least Common Multiple of Numerators i.e. LCM of 224,9265 is 2075360.

GCF of Denominators means GCF of 814,168 as per the given fractions.

GCF of 814,168 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,9265

LCM of Fractions 224/814,9265/168 is 1037680

Given numbers has no common factors except 1. So, there LCM is their product i.e 2075360

Least Common Multiple of 224,9265 with GCF Formula

Least Common Multiple of 224,9265 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 224,9265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,9265) = 1

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

GCF(224,9265) x common factors =1 x 1 = 1

LCM(224,9265) = ( 224 × 9265 ) / 1

LCM(224,9265) = 2075360 / 1

LCM(224,9265) = 2075360


Lets's calculate GCF of 814,168

2 814, 168
407, 84

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2075360/2

Therefore the LCM of Fractions 224/814,9265/168 is 1037680

Greatest Common Factor of 814,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,168 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 814,168 . The biggest common factor number is the GCF number.
So the greatest common factor 814,168 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 224/814, 9265/168

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 224/814, 9265/168?

Answer: LCM of Numerators as per given numbers 224/814, 9265/168 is

LCM of Numerators i.e. for 224,9265 is 2075360

GCF of denominators i.e. for 814,168 is 2.

Thus, LCM of Fractions is 1037680.Finally, LCM of Fractions for 224/814, 9265/168 is 1037680.