Least Common Multiple of 409/57, 661/3810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 409/57, 661/3810 quickly i.e. 270349/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 409/57, 661/3810 is 270349/3.

LCM(409/57, 661/3810) = 270349/3

LCM of 409/57, 661/3810

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 409/57,661/3810

Given numbers are 409/57,661/3810

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 409,661

Least Common Multiple of Numerators i.e. LCM of 409,661 is 270349.

GCF of Denominators means GCF of 57,3810 as per the given fractions.

GCF of 57,3810 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 409,661

LCM of Fractions 409/57,661/3810 is 270349/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 270349

Least Common Multiple of 409,661 with GCF Formula

Least Common Multiple of 409,661 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 409,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,661) = 1

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

GCF(409,661) x common factors =1 x 1 = 1

LCM(409,661) = ( 409 × 661 ) / 1

LCM(409,661) = 270349 / 1

LCM(409,661) = 270349


Lets's calculate GCF of 57,3810

3 57, 3810
19, 1270

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270349/3

Therefore the LCM of Fractions 409/57,661/3810 is 270349/3

Greatest Common Factor of 57,3810 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,3810 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 3810

List of positive integer factors of 3810 that divides 3810 without a remainder.

1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810

Greatest Common Factor

We found the factors 57,3810 . The biggest common factor number is the GCF number.
So the greatest common factor 57,3810 is 3.


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Frequently Asked Questions on Fractional LCM of 409/57, 661/3810

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 409/57, 661/3810?

Answer: LCM of Numerators as per given numbers 409/57, 661/3810 is

LCM of Numerators i.e. for 409,661 is 270349

GCF of denominators i.e. for 57,3810 is 3.

Thus, LCM of Fractions is 270349/3.Finally, LCM of Fractions for 409/57, 661/3810 is 270349/3.