Least Common Multiple of 839/344, 262/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 839/344, 262/606 quickly i.e. 109909 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 839/344, 262/606 is 109909.

LCM(839/344, 262/606) = 109909

LCM of 839/344, 262/606

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 839/344,262/606

Given numbers are 839/344,262/606

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 839,262

Least Common Multiple of Numerators i.e. LCM of 839,262 is 219818.

GCF of Denominators means GCF of 344,606 as per the given fractions.

GCF of 344,606 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 839,262

LCM of Fractions 839/344,262/606 is 109909

Given numbers has no common factors except 1. So, there LCM is their product i.e 219818

Least Common Multiple of 839,262 with GCF Formula

Least Common Multiple of 839,262 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 839,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,262) = 1

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

GCF(839,262) x common factors =1 x 1 = 1

LCM(839,262) = ( 839 × 262 ) / 1

LCM(839,262) = 219818 / 1

LCM(839,262) = 219818


Lets's calculate GCF of 344,606

2 344, 606
172, 303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219818/2

Therefore the LCM of Fractions 839/344,262/606 is 109909

Greatest Common Factor of 344,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,606 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 344,606 . The biggest common factor number is the GCF number.
So the greatest common factor 344,606 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 839/344, 262/606

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 839/344, 262/606?

Answer: LCM of Numerators as per given numbers 839/344, 262/606 is

LCM of Numerators i.e. for 839,262 is 219818

GCF of denominators i.e. for 344,606 is 2.

Thus, LCM of Fractions is 109909.Finally, LCM of Fractions for 839/344, 262/606 is 109909.