Least Common Multiple of 339/888, 791/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 339/888, 791/814 quickly i.e. 2373/74 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 339/888, 791/814 is 2373/74.

LCM(339/888, 791/814) = 2373/74

LCM of 339/888, 791/814

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 339/888,791/814

Given numbers are 339/888,791/814

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 339,791

Least Common Multiple of Numerators i.e. LCM of 339,791 is 2373.

GCF of Denominators means GCF of 888,814 as per the given fractions.

GCF of 888,814 is 74 as it is the largest common factor for these numbers.

Lets's calculate LCM of 339,791

LCM of Fractions 339/888,791/814 is 2373/74

113 339, 791
3, 7

∴ So the LCM of the given numbers is 113 x 3 x 7 = 2373

Least Common Multiple of 339,791 with GCF Formula

Least Common Multiple of 339,791 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 339,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,791) = 113

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

GCF(339,791) x common factors =113 x 1 = 113

LCM(339,791) = ( 339 × 791 ) / 113

LCM(339,791) = 268149 / 113

LCM(339,791) = 2373


Lets's calculate GCF of 888,814

2 888, 814
37 444, 407
12, 11

∴ So the GCF of the given numbers is 2 x 37 = 74

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2373/74

Therefore the LCM of Fractions 339/888,791/814 is 2373/74

Greatest Common Factor of 888,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 888,814 By Matching Biggest Common Factor Method

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Factors of 814

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

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

Greatest Common Factor

We found the factors 888,814 . The biggest common factor number is the GCF number.
So the greatest common factor 888,814 is 74.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 339/888, 791/814

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 339/888, 791/814?

Answer: LCM of Numerators as per given numbers 339/888, 791/814 is

LCM of Numerators i.e. for 339,791 is 2373

GCF of denominators i.e. for 888,814 is 74.

Thus, LCM of Fractions is 2373/74.Finally, LCM of Fractions for 339/888, 791/814 is 2373/74.