Least Common Multiple of 341/165, 9440/3445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 341/165, 9440/3445 quickly i.e. 643808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 341/165, 9440/3445 is 643808.

LCM(341/165, 9440/3445) = 643808

LCM of 341/165, 9440/3445

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 341/165,9440/3445

Given numbers are 341/165,9440/3445

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 341,9440

Least Common Multiple of Numerators i.e. LCM of 341,9440 is 3219040.

GCF of Denominators means GCF of 165,3445 as per the given fractions.

GCF of 165,3445 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 341,9440

LCM of Fractions 341/165,9440/3445 is 643808

Given numbers has no common factors except 1. So, there LCM is their product i.e 3219040

Least Common Multiple of 341,9440 with GCF Formula

Least Common Multiple of 341,9440 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 341,9440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,9440) = 1

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

GCF(341,9440) x common factors =1 x 1 = 1

LCM(341,9440) = ( 341 × 9440 ) / 1

LCM(341,9440) = 3219040 / 1

LCM(341,9440) = 3219040


Lets's calculate GCF of 165,3445

5 165, 3445
33, 689

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3219040/5

Therefore the LCM of Fractions 341/165,9440/3445 is 643808

Greatest Common Factor of 165,3445 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,3445 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 3445

List of positive integer factors of 3445 that divides 3445 without a remainder.

1,5,13,53,65,265,689,3445

Greatest Common Factor

We found the factors 165,3445 . The biggest common factor number is the GCF number.
So the greatest common factor 165,3445 is 5.


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Frequently Asked Questions on Fractional LCM of 341/165, 9440/3445

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 341/165, 9440/3445?

Answer: LCM of Numerators as per given numbers 341/165, 9440/3445 is

LCM of Numerators i.e. for 341,9440 is 3219040

GCF of denominators i.e. for 165,3445 is 5.

Thus, LCM of Fractions is 643808.Finally, LCM of Fractions for 341/165, 9440/3445 is 643808.