Least Common Multiple of 1605/369, 6170/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1605/369, 6170/738 quickly i.e. 1980570/369 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1605/369, 6170/738 is 1980570/369.

LCM(1605/369, 6170/738) = 1980570/369

LCM of 1605/369, 6170/738

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 1605/369,6170/738

Given numbers are 1605/369,6170/738

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 1605,6170

Least Common Multiple of Numerators i.e. LCM of 1605,6170 is 1980570.

GCF of Denominators means GCF of 369,738 as per the given fractions.

GCF of 369,738 is 369 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1605,6170

LCM of Fractions 1605/369,6170/738 is 1980570/369

5 1605, 6170
321, 1234

∴ So the LCM of the given numbers is 5 x 321 x 1234 = 1980570

Least Common Multiple of 1605,6170 with GCF Formula

Least Common Multiple of 1605,6170 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 1605,6170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1605,6170) = 5

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

GCF(1605,6170) x common factors =5 x 1 = 5

LCM(1605,6170) = ( 1605 × 6170 ) / 5

LCM(1605,6170) = 9902850 / 5

LCM(1605,6170) = 1980570


Lets's calculate GCF of 369,738

3 369, 738
3 123, 246
41 41, 82
1, 2

∴ So the GCF of the given numbers is 3 x 3 x 41 = 369

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1980570/369

Therefore the LCM of Fractions 1605/369,6170/738 is 1980570/369

Greatest Common Factor of 369,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,738 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 369,738 . The biggest common factor number is the GCF number.
So the greatest common factor 369,738 is 369.


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 1605/369, 6170/738

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 1605/369, 6170/738?

Answer: LCM of Numerators as per given numbers 1605/369, 6170/738 is

LCM of Numerators i.e. for 1605,6170 is 1980570

GCF of denominators i.e. for 369,738 is 369.

Thus, LCM of Fractions is 1980570/369.Finally, LCM of Fractions for 1605/369, 6170/738 is 1980570/369.