Least Common Multiple of 344/67, 669/6374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/67, 669/6374 quickly i.e. 230136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/67, 669/6374 is 230136.

LCM(344/67, 669/6374) = 230136

LCM of 344/67, 669/6374

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 344/67,669/6374

Given numbers are 344/67,669/6374

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 344,669

Least Common Multiple of Numerators i.e. LCM of 344,669 is 230136.

GCF of Denominators means GCF of 67,6374 as per the given fractions.

GCF of 67,6374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,669

LCM of Fractions 344/67,669/6374 is 230136

Given numbers has no common factors except 1. So, there LCM is their product i.e 230136

Least Common Multiple of 344,669 with GCF Formula

Least Common Multiple of 344,669 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 344,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,669) = 1

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

GCF(344,669) x common factors =1 x 1 = 1

LCM(344,669) = ( 344 × 669 ) / 1

LCM(344,669) = 230136 / 1

LCM(344,669) = 230136


Lets's calculate GCF of 67,6374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230136/1

Therefore the LCM of Fractions 344/67,669/6374 is 230136

Greatest Common Factor of 67,6374 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,6374 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 6374

List of positive integer factors of 6374 that divides 6374 without a remainder.

1,2,3187,6374

Greatest Common Factor

We found the factors 67,6374 . The biggest common factor number is the GCF number.
So the greatest common factor 67,6374 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 344/67, 669/6374

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 344/67, 669/6374?

Answer: LCM of Numerators as per given numbers 344/67, 669/6374 is

LCM of Numerators i.e. for 344,669 is 230136

GCF of denominators i.e. for 67,6374 is 1.

Thus, LCM of Fractions is 230136.Finally, LCM of Fractions for 344/67, 669/6374 is 230136.