Least Common Multiple of 315/609, 5536/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/609, 5536/406 quickly i.e. 1743840/203 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/609, 5536/406 is 1743840/203.

LCM(315/609, 5536/406) = 1743840/203

LCM of 315/609, 5536/406

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 315/609,5536/406

Given numbers are 315/609,5536/406

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 315,5536

Least Common Multiple of Numerators i.e. LCM of 315,5536 is 1743840.

GCF of Denominators means GCF of 609,406 as per the given fractions.

GCF of 609,406 is 203 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,5536

LCM of Fractions 315/609,5536/406 is 1743840/203

Given numbers has no common factors except 1. So, there LCM is their product i.e 1743840

Least Common Multiple of 315,5536 with GCF Formula

Least Common Multiple of 315,5536 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 315,5536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,5536) = 1

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

GCF(315,5536) x common factors =1 x 1 = 1

LCM(315,5536) = ( 315 × 5536 ) / 1

LCM(315,5536) = 1743840 / 1

LCM(315,5536) = 1743840


Lets's calculate GCF of 609,406

7 609, 406
29 87, 58
3, 2

∴ So the GCF of the given numbers is 7 x 29 = 203

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1743840/203

Therefore the LCM of Fractions 315/609,5536/406 is 1743840/203

Greatest Common Factor of 609,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,406 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 609,406 . The biggest common factor number is the GCF number.
So the greatest common factor 609,406 is 203.


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 315/609, 5536/406

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 315/609, 5536/406?

Answer: LCM of Numerators as per given numbers 315/609, 5536/406 is

LCM of Numerators i.e. for 315,5536 is 1743840

GCF of denominators i.e. for 609,406 is 203.

Thus, LCM of Fractions is 1743840/203.Finally, LCM of Fractions for 315/609, 5536/406 is 1743840/203.