Least Common Multiple of 904/834, 441/236, 674/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 904/834, 441/236, 674/609 quickly i.e. 134349768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 904/834, 441/236, 674/609 is 134349768.

LCM(904/834, 441/236, 674/609) = 134349768

LCM of 904/834, 441/236, 674/609

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 904/834,441/236,674/609

Given numbers are 904/834,441/236,674/609

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 904,441,674

Least Common Multiple of Numerators i.e. LCM of 904,441,674 is 134349768.

GCF of Denominators means GCF of 834,236,609 as per the given fractions.

GCF of 834,236,609 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 904,441,674

LCM of Fractions 904/834,441/236,674/609 is 134349768

2 904, 441, 674
452, 441, 337

∴ So the LCM of the given numbers is 2 x 452 x 441 x 337 = 134349768

Least Common Multiple of 904,441,674 with GCF Formula

Least Common Multiple of 904,441,674 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 904,441,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,441,674) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(904,441,674) x common factors =1 x 2 = 2

LCM(904,441,674) = ( 904 × 441 × 674 ) / 2

LCM(904,441,674) = 268699536 / 2

LCM(904,441,674) = 134349768


Lets's calculate GCF of 834,236,609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134349768/1

Therefore the LCM of Fractions 904/834,441/236,674/609 is 134349768

Greatest Common Factor of 834,236,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,236,609 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 834,236,609 . The biggest common factor number is the GCF number.
So the greatest common factor 834,236,609 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 904/834, 441/236, 674/609

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 904/834, 441/236, 674/609?

Answer: LCM of Numerators as per given numbers 904/834, 441/236, 674/609 is

LCM of Numerators i.e. for 904,441,674 is 134349768

GCF of denominators i.e. for 834,236,609 is 1.

Thus, LCM of Fractions is 134349768.Finally, LCM of Fractions for 904/834, 441/236, 674/609 is 134349768.