Least Common Multiple of 85/509, 9709/5471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/509, 9709/5471 quickly i.e. 825265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/509, 9709/5471 is 825265.

LCM(85/509, 9709/5471) = 825265

LCM of 85/509, 9709/5471

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 85/509,9709/5471

Given numbers are 85/509,9709/5471

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 85,9709

Least Common Multiple of Numerators i.e. LCM of 85,9709 is 825265.

GCF of Denominators means GCF of 509,5471 as per the given fractions.

GCF of 509,5471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,9709

LCM of Fractions 85/509,9709/5471 is 825265

Given numbers has no common factors except 1. So, there LCM is their product i.e 825265

Least Common Multiple of 85,9709 with GCF Formula

Least Common Multiple of 85,9709 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 85,9709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,9709) = 1

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

GCF(85,9709) x common factors =1 x 1 = 1

LCM(85,9709) = ( 85 × 9709 ) / 1

LCM(85,9709) = 825265 / 1

LCM(85,9709) = 825265


Lets's calculate GCF of 509,5471

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 825265/1

Therefore the LCM of Fractions 85/509,9709/5471 is 825265

Greatest Common Factor of 509,5471 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,5471 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 5471

List of positive integer factors of 5471 that divides 5471 without a remainder.

1,5471

Greatest Common Factor

We found the factors 509,5471 . The biggest common factor number is the GCF number.
So the greatest common factor 509,5471 is 1.


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 85/509, 9709/5471

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 85/509, 9709/5471?

Answer: LCM of Numerators as per given numbers 85/509, 9709/5471 is

LCM of Numerators i.e. for 85,9709 is 825265

GCF of denominators i.e. for 509,5471 is 1.

Thus, LCM of Fractions is 825265.Finally, LCM of Fractions for 85/509, 9709/5471 is 825265.