Least Common Multiple of 608/85, 461/8245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 608/85, 461/8245 quickly i.e. 280288/85 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 608/85, 461/8245 is 280288/85.

LCM(608/85, 461/8245) = 280288/85

LCM of 608/85, 461/8245

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 608/85,461/8245

Given numbers are 608/85,461/8245

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 608,461

Least Common Multiple of Numerators i.e. LCM of 608,461 is 280288.

GCF of Denominators means GCF of 85,8245 as per the given fractions.

GCF of 85,8245 is 85 as it is the largest common factor for these numbers.

Lets's calculate LCM of 608,461

LCM of Fractions 608/85,461/8245 is 280288/85

Given numbers has no common factors except 1. So, there LCM is their product i.e 280288

Least Common Multiple of 608,461 with GCF Formula

Least Common Multiple of 608,461 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 608,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,461) = 1

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

GCF(608,461) x common factors =1 x 1 = 1

LCM(608,461) = ( 608 × 461 ) / 1

LCM(608,461) = 280288 / 1

LCM(608,461) = 280288


Lets's calculate GCF of 85,8245

5 85, 8245
17 17, 1649
1, 97

∴ So the GCF of the given numbers is 5 x 17 = 85

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280288/85

Therefore the LCM of Fractions 608/85,461/8245 is 280288/85

Greatest Common Factor of 85,8245 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,8245 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 8245

List of positive integer factors of 8245 that divides 8245 without a remainder.

1,5,17,85,97,485,1649,8245

Greatest Common Factor

We found the factors 85,8245 . The biggest common factor number is the GCF number.
So the greatest common factor 85,8245 is 85.


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 608/85, 461/8245

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 608/85, 461/8245?

Answer: LCM of Numerators as per given numbers 608/85, 461/8245 is

LCM of Numerators i.e. for 608,461 is 280288

GCF of denominators i.e. for 85,8245 is 85.

Thus, LCM of Fractions is 280288/85.Finally, LCM of Fractions for 608/85, 461/8245 is 280288/85.