Least Common Multiple of 464/814, 1785/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 464/814, 1785/266 quickly i.e. 414120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/814, 1785/266 is 414120.

LCM(464/814, 1785/266) = 414120

LCM of 464/814, 1785/266

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 464/814,1785/266

Given numbers are 464/814,1785/266

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 464,1785

Least Common Multiple of Numerators i.e. LCM of 464,1785 is 828240.

GCF of Denominators means GCF of 814,266 as per the given fractions.

GCF of 814,266 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,1785

LCM of Fractions 464/814,1785/266 is 414120

Given numbers has no common factors except 1. So, there LCM is their product i.e 828240

Least Common Multiple of 464,1785 with GCF Formula

Least Common Multiple of 464,1785 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 464,1785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,1785) = 1

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

GCF(464,1785) x common factors =1 x 1 = 1

LCM(464,1785) = ( 464 × 1785 ) / 1

LCM(464,1785) = 828240 / 1

LCM(464,1785) = 828240


Lets's calculate GCF of 814,266

2 814, 266
407, 133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 828240/2

Therefore the LCM of Fractions 464/814,1785/266 is 414120

Greatest Common Factor of 814,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,266 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 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 814,266 . The biggest common factor number is the GCF number.
So the greatest common factor 814,266 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 464/814, 1785/266

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 464/814, 1785/266?

Answer: LCM of Numerators as per given numbers 464/814, 1785/266 is

LCM of Numerators i.e. for 464,1785 is 828240

GCF of denominators i.e. for 814,266 is 2.

Thus, LCM of Fractions is 414120.Finally, LCM of Fractions for 464/814, 1785/266 is 414120.