diff --git a/problem03.rb b/problem03.rb
index e69de29..30fa2e9 100644
--- a/problem03.rb
+++ b/problem03.rb
@@ -0,0 +1,22 @@
+$factor_array = []
+
+def prime(n)
+	(2..n-1).each {|x| return false if n % x == 0}
+	return true
+end
+
+def factor(n)
+	counter = 2
+	until n % counter == 0 && prime(counter)
+		counter += 1
+	end
+	$factor_array << counter
+	if n != counter
+		factor(n/counter)
+	else
+		puts $factor_array.pop
+		Process.exit(0)
+	end
+end
+
+factor(600851475143)
\ No newline at end of file
diff --git a/problem05.rb b/problem05.rb
index e69de29..2280210 100644
--- a/problem05.rb
+++ b/problem05.rb
@@ -0,0 +1 @@
+puts (1..20).inject(:lcm)
\ No newline at end of file
diff --git a/problem08.rb b/problem08.rb
index e69de29..991070f 100644
--- a/problem08.rb
+++ b/problem08.rb
@@ -0,0 +1,28 @@
+$final_product = 0
+
+def multiply(array)
+	i = 1
+	array.each { |x| i = i*x.to_i }
+	return i
+end
+
+n = 7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450
+n_array = n.to_s.split('')
+e = n_array.to_enum
+product_array = []
+
+set_product = multiply(product_array)
+
+n_array.each do |x|
+	if product_array.length < 5
+		product_array << e.next
+	else
+		product_array.shift
+		product_array << e.next
+		set_product = multiply(product_array)
+		if set_product > $final_product
+			$final_product = set_product
+		end
+	end
+end
+puts $final_product
\ No newline at end of file