Least Common Multiple of 892/11, 706/4384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/11, 706/4384 quickly i.e. 314876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/11, 706/4384 is 314876.

LCM(892/11, 706/4384) = 314876

LCM of 892/11, 706/4384

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 892/11,706/4384

Given numbers are 892/11,706/4384

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 892,706

Least Common Multiple of Numerators i.e. LCM of 892,706 is 314876.

GCF of Denominators means GCF of 11,4384 as per the given fractions.

GCF of 11,4384 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,706

LCM of Fractions 892/11,706/4384 is 314876

2 892, 706
446, 353

∴ So the LCM of the given numbers is 2 x 446 x 353 = 314876

Least Common Multiple of 892,706 with GCF Formula

Least Common Multiple of 892,706 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 892,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,706) = 2

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

GCF(892,706) x common factors =2 x 1 = 2

LCM(892,706) = ( 892 × 706 ) / 2

LCM(892,706) = 629752 / 2

LCM(892,706) = 314876


Lets's calculate GCF of 11,4384

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314876/1

Therefore the LCM of Fractions 892/11,706/4384 is 314876

Greatest Common Factor of 11,4384 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,4384 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 4384

List of positive integer factors of 4384 that divides 4384 without a remainder.

1,2,4,8,16,32,137,274,548,1096,2192,4384

Greatest Common Factor

We found the factors 11,4384 . The biggest common factor number is the GCF number.
So the greatest common factor 11,4384 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 892/11, 706/4384

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 892/11, 706/4384?

Answer: LCM of Numerators as per given numbers 892/11, 706/4384 is

LCM of Numerators i.e. for 892,706 is 314876

GCF of denominators i.e. for 11,4384 is 1.

Thus, LCM of Fractions is 314876.Finally, LCM of Fractions for 892/11, 706/4384 is 314876.