Least Common Multiple of 405/485, 8597/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 405/485, 8597/130 quickly i.e. 696357 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 405/485, 8597/130 is 696357.

LCM(405/485, 8597/130) = 696357

LCM of 405/485, 8597/130

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 405/485,8597/130

Given numbers are 405/485,8597/130

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 405,8597

Least Common Multiple of Numerators i.e. LCM of 405,8597 is 3481785.

GCF of Denominators means GCF of 485,130 as per the given fractions.

GCF of 485,130 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 405,8597

LCM of Fractions 405/485,8597/130 is 696357

Given numbers has no common factors except 1. So, there LCM is their product i.e 3481785

Least Common Multiple of 405,8597 with GCF Formula

Least Common Multiple of 405,8597 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 405,8597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,8597) = 1

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

GCF(405,8597) x common factors =1 x 1 = 1

LCM(405,8597) = ( 405 × 8597 ) / 1

LCM(405,8597) = 3481785 / 1

LCM(405,8597) = 3481785


Lets's calculate GCF of 485,130

5 485, 130
97, 26

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3481785/5

Therefore the LCM of Fractions 405/485,8597/130 is 696357

Greatest Common Factor of 485,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,130 By Matching Biggest Common Factor Method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 485,130 . The biggest common factor number is the GCF number.
So the greatest common factor 485,130 is 5.


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 405/485, 8597/130

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 405/485, 8597/130?

Answer: LCM of Numerators as per given numbers 405/485, 8597/130 is

LCM of Numerators i.e. for 405,8597 is 3481785

GCF of denominators i.e. for 485,130 is 5.

Thus, LCM of Fractions is 696357.Finally, LCM of Fractions for 405/485, 8597/130 is 696357.