Least Common Multiple of 59/344, 3756/3374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/344, 3756/3374 quickly i.e. 110802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/344, 3756/3374 is 110802.

LCM(59/344, 3756/3374) = 110802

LCM of 59/344, 3756/3374

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 59/344,3756/3374

Given numbers are 59/344,3756/3374

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 59,3756

Least Common Multiple of Numerators i.e. LCM of 59,3756 is 221604.

GCF of Denominators means GCF of 344,3374 as per the given fractions.

GCF of 344,3374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,3756

LCM of Fractions 59/344,3756/3374 is 110802

Given numbers has no common factors except 1. So, there LCM is their product i.e 221604

Least Common Multiple of 59,3756 with GCF Formula

Least Common Multiple of 59,3756 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 59,3756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,3756) = 1

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

GCF(59,3756) x common factors =1 x 1 = 1

LCM(59,3756) = ( 59 × 3756 ) / 1

LCM(59,3756) = 221604 / 1

LCM(59,3756) = 221604


Lets's calculate GCF of 344,3374

2 344, 3374
172, 1687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221604/2

Therefore the LCM of Fractions 59/344,3756/3374 is 110802

Greatest Common Factor of 344,3374 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,3374 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 3374

List of positive integer factors of 3374 that divides 3374 without a remainder.

1,2,7,14,241,482,1687,3374

Greatest Common Factor

We found the factors 344,3374 . The biggest common factor number is the GCF number.
So the greatest common factor 344,3374 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 59/344, 3756/3374

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 59/344, 3756/3374?

Answer: LCM of Numerators as per given numbers 59/344, 3756/3374 is

LCM of Numerators i.e. for 59,3756 is 221604

GCF of denominators i.e. for 344,3374 is 2.

Thus, LCM of Fractions is 110802.Finally, LCM of Fractions for 59/344, 3756/3374 is 110802.