diff --git a/smallestK-digitdivbyX b/smallestK-digitdivbyX
new file mode 100644
index 0000000..c42c2ba
--- /dev/null
+++ b/smallestK-digitdivbyX
@@ -0,0 +1,17 @@
+def sumOfSeries(num): 
+	
+	# Computing MAX 
+	res = 0
+	fact = 1
+	
+	for i in range(1, num+1): 
+		fact *= i 
+		res = res + (i/ fact) 
+		
+	return res 
+	
+
+n = 5
+print("Sum: ", sumOfSeries(n)) 
+
+# Code contributed by Mohit Gupta_OMG <(0_o)>