Least Common Multiple of 8344/690, 4164/4485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8344/690, 4164/4485 quickly i.e. 8686104/345 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8344/690, 4164/4485 is 8686104/345.

LCM(8344/690, 4164/4485) = 8686104/345

LCM of 8344/690, 4164/4485

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 8344/690,4164/4485

Given numbers are 8344/690,4164/4485

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 8344,4164

Least Common Multiple of Numerators i.e. LCM of 8344,4164 is 8686104.

GCF of Denominators means GCF of 690,4485 as per the given fractions.

GCF of 690,4485 is 345 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8344,4164

LCM of Fractions 8344/690,4164/4485 is 8686104/345

2 8344, 4164
2 4172, 2082
2086, 1041

∴ So the LCM of the given numbers is 2 x 2 x 2086 x 1041 = 8686104

Least Common Multiple of 8344,4164 with GCF Formula

Least Common Multiple of 8344,4164 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 8344,4164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8344,4164) = 4

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

GCF(8344,4164) x common factors =4 x 1 = 4

LCM(8344,4164) = ( 8344 × 4164 ) / 4

LCM(8344,4164) = 34744416 / 4

LCM(8344,4164) = 8686104


Lets's calculate GCF of 690,4485

3 690, 4485
5 230, 1495
23 46, 299
2, 13

∴ So the GCF of the given numbers is 3 x 5 x 23 = 345

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8686104/345

Therefore the LCM of Fractions 8344/690,4164/4485 is 8686104/345

Greatest Common Factor of 690,4485 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,4485 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 4485

List of positive integer factors of 4485 that divides 4485 without a remainder.

1,3,5,13,15,23,39,65,69,115,195,299,345,897,1495,4485

Greatest Common Factor

We found the factors 690,4485 . The biggest common factor number is the GCF number.
So the greatest common factor 690,4485 is 345.


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 8344/690, 4164/4485

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 8344/690, 4164/4485?

Answer: LCM of Numerators as per given numbers 8344/690, 4164/4485 is

LCM of Numerators i.e. for 8344,4164 is 8686104

GCF of denominators i.e. for 690,4485 is 345.

Thus, LCM of Fractions is 8686104/345.Finally, LCM of Fractions for 8344/690, 4164/4485 is 8686104/345.