Least Common Multiple of 485/85, 655/3415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 485/85, 655/3415 quickly i.e. 12707 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/85, 655/3415 is 12707.

LCM(485/85, 655/3415) = 12707

LCM of 485/85, 655/3415

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 485/85,655/3415

Given numbers are 485/85,655/3415

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 485,655

Least Common Multiple of Numerators i.e. LCM of 485,655 is 63535.

GCF of Denominators means GCF of 85,3415 as per the given fractions.

GCF of 85,3415 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,655

LCM of Fractions 485/85,655/3415 is 12707

5 485, 655
97, 131

∴ So the LCM of the given numbers is 5 x 97 x 131 = 63535

Least Common Multiple of 485,655 with GCF Formula

Least Common Multiple of 485,655 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 485,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,655) = 5

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

GCF(485,655) x common factors =5 x 1 = 5

LCM(485,655) = ( 485 × 655 ) / 5

LCM(485,655) = 317675 / 5

LCM(485,655) = 63535


Lets's calculate GCF of 85,3415

5 85, 3415
17, 683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63535/5

Therefore the LCM of Fractions 485/85,655/3415 is 12707

Greatest Common Factor of 85,3415 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,3415 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 3415

List of positive integer factors of 3415 that divides 3415 without a remainder.

1,5,683,3415

Greatest Common Factor

We found the factors 85,3415 . The biggest common factor number is the GCF number.
So the greatest common factor 85,3415 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 485/85, 655/3415

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 485/85, 655/3415?

Answer: LCM of Numerators as per given numbers 485/85, 655/3415 is

LCM of Numerators i.e. for 485,655 is 63535

GCF of denominators i.e. for 85,3415 is 5.

Thus, LCM of Fractions is 12707.Finally, LCM of Fractions for 485/85, 655/3415 is 12707.