Least Common Multiple of 13/856, 8461/3509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/856, 8461/3509 quickly i.e. 109993 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/856, 8461/3509 is 109993.

LCM(13/856, 8461/3509) = 109993

LCM of 13/856, 8461/3509

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 13/856,8461/3509

Given numbers are 13/856,8461/3509

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 13,8461

Least Common Multiple of Numerators i.e. LCM of 13,8461 is 109993.

GCF of Denominators means GCF of 856,3509 as per the given fractions.

GCF of 856,3509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,8461

LCM of Fractions 13/856,8461/3509 is 109993

Given numbers has no common factors except 1. So, there LCM is their product i.e 109993

Least Common Multiple of 13,8461 with GCF Formula

Least Common Multiple of 13,8461 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 13,8461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,8461) = 1

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

GCF(13,8461) x common factors =1 x 1 = 1

LCM(13,8461) = ( 13 × 8461 ) / 1

LCM(13,8461) = 109993 / 1

LCM(13,8461) = 109993


Lets's calculate GCF of 856,3509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109993/1

Therefore the LCM of Fractions 13/856,8461/3509 is 109993

Greatest Common Factor of 856,3509 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,3509 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 3509

List of positive integer factors of 3509 that divides 3509 without a remainder.

1,11,29,121,319,3509

Greatest Common Factor

We found the factors 856,3509 . The biggest common factor number is the GCF number.
So the greatest common factor 856,3509 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 13/856, 8461/3509

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 13/856, 8461/3509?

Answer: LCM of Numerators as per given numbers 13/856, 8461/3509 is

LCM of Numerators i.e. for 13,8461 is 109993

GCF of denominators i.e. for 856,3509 is 1.

Thus, LCM of Fractions is 109993.Finally, LCM of Fractions for 13/856, 8461/3509 is 109993.