Least Common Multiple of 3646/597, 3874/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3646/597, 3874/412 quickly i.e. 7062302 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3646/597, 3874/412 is 7062302.

LCM(3646/597, 3874/412) = 7062302

LCM of 3646/597, 3874/412

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 3646/597,3874/412

Given numbers are 3646/597,3874/412

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 3646,3874

Least Common Multiple of Numerators i.e. LCM of 3646,3874 is 7062302.

GCF of Denominators means GCF of 597,412 as per the given fractions.

GCF of 597,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3646,3874

LCM of Fractions 3646/597,3874/412 is 7062302

2 3646, 3874
1823, 1937

∴ So the LCM of the given numbers is 2 x 1823 x 1937 = 7062302

Least Common Multiple of 3646,3874 with GCF Formula

Least Common Multiple of 3646,3874 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 3646,3874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3646,3874) = 2

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

GCF(3646,3874) x common factors =2 x 1 = 2

LCM(3646,3874) = ( 3646 × 3874 ) / 2

LCM(3646,3874) = 14124604 / 2

LCM(3646,3874) = 7062302


Lets's calculate GCF of 597,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7062302/1

Therefore the LCM of Fractions 3646/597,3874/412 is 7062302

Greatest Common Factor of 597,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,412 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 597,412 . The biggest common factor number is the GCF number.
So the greatest common factor 597,412 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3646/597, 3874/412

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 3646/597, 3874/412?

Answer: LCM of Numerators as per given numbers 3646/597, 3874/412 is

LCM of Numerators i.e. for 3646,3874 is 7062302

GCF of denominators i.e. for 597,412 is 1.

Thus, LCM of Fractions is 7062302.Finally, LCM of Fractions for 3646/597, 3874/412 is 7062302.