Least Common Multiple of 8346/280, 8505/5314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8346/280, 8505/5314 quickly i.e. 11830455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8346/280, 8505/5314 is 11830455.

LCM(8346/280, 8505/5314) = 11830455

LCM of 8346/280, 8505/5314

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 8346/280,8505/5314

Given numbers are 8346/280,8505/5314

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 8346,8505

Least Common Multiple of Numerators i.e. LCM of 8346,8505 is 23660910.

GCF of Denominators means GCF of 280,5314 as per the given fractions.

GCF of 280,5314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8346,8505

LCM of Fractions 8346/280,8505/5314 is 11830455

3 8346, 8505
2782, 2835

∴ So the LCM of the given numbers is 3 x 2782 x 2835 = 23660910

Least Common Multiple of 8346,8505 with GCF Formula

Least Common Multiple of 8346,8505 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 8346,8505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8346,8505) = 3

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

GCF(8346,8505) x common factors =3 x 1 = 3

LCM(8346,8505) = ( 8346 × 8505 ) / 3

LCM(8346,8505) = 70982730 / 3

LCM(8346,8505) = 23660910


Lets's calculate GCF of 280,5314

2 280, 5314
140, 2657

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23660910/2

Therefore the LCM of Fractions 8346/280,8505/5314 is 11830455

Greatest Common Factor of 280,5314 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,5314 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 5314

List of positive integer factors of 5314 that divides 5314 without a remainder.

1,2,2657,5314

Greatest Common Factor

We found the factors 280,5314 . The biggest common factor number is the GCF number.
So the greatest common factor 280,5314 is 2.


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 8346/280, 8505/5314

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 8346/280, 8505/5314?

Answer: LCM of Numerators as per given numbers 8346/280, 8505/5314 is

LCM of Numerators i.e. for 8346,8505 is 23660910

GCF of denominators i.e. for 280,5314 is 2.

Thus, LCM of Fractions is 11830455.Finally, LCM of Fractions for 8346/280, 8505/5314 is 11830455.