Least Common Multiple of 3341/72, 3410/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3341/72, 3410/598 quickly i.e. 5696405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3341/72, 3410/598 is 5696405.

LCM(3341/72, 3410/598) = 5696405

LCM of 3341/72, 3410/598

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 3341/72,3410/598

Given numbers are 3341/72,3410/598

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 3341,3410

Least Common Multiple of Numerators i.e. LCM of 3341,3410 is 11392810.

GCF of Denominators means GCF of 72,598 as per the given fractions.

GCF of 72,598 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3341,3410

LCM of Fractions 3341/72,3410/598 is 5696405

Given numbers has no common factors except 1. So, there LCM is their product i.e 11392810

Least Common Multiple of 3341,3410 with GCF Formula

Least Common Multiple of 3341,3410 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 3341,3410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3341,3410) = 1

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

GCF(3341,3410) x common factors =1 x 1 = 1

LCM(3341,3410) = ( 3341 × 3410 ) / 1

LCM(3341,3410) = 11392810 / 1

LCM(3341,3410) = 11392810


Lets's calculate GCF of 72,598

2 72, 598
36, 299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11392810/2

Therefore the LCM of Fractions 3341/72,3410/598 is 5696405

Greatest Common Factor of 72,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,598 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 72,598 . The biggest common factor number is the GCF number.
So the greatest common factor 72,598 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3341/72, 3410/598

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 3341/72, 3410/598?

Answer: LCM of Numerators as per given numbers 3341/72, 3410/598 is

LCM of Numerators i.e. for 3341,3410 is 11392810

GCF of denominators i.e. for 72,598 is 2.

Thus, LCM of Fractions is 5696405.Finally, LCM of Fractions for 3341/72, 3410/598 is 5696405.