Long Multiplication Calculator

Long multiplication calculator to generate step-by-step solution using simple method as like we do in notebook by solving each digit one by one. Generate step-by-step solution or solve any multiplication problem with 2 by 2, 3 by 3, 3 by 2, 4 by 4, 4 by 3, 4 by 2, 5 by 4, 5 by 3, 5 by 2, 6 by 4, 6 by 3, and 6 by 2 digit multiplicand and multiplier. This long multiplication calculator features grid method, and generates the detailed information for every calculation to find the resulting product.

Result

Product : 728037

Multiply 1973 and 369

1 9 7 3
x   3 6 9
1 7 7 5 7
1 1 8 3 8
5 9 1 9
7 2 8 0 3 7

Multiplicand : 1973 Multiplier : 369 Product : 728037

How to do Multiplication with Decimal?

Just supply the values of multiplicand, multiplier and hit on ENTER button to find the resulting product in decimal. The step by step calculation generated for how to do long multiplication for the corresponding input values of multiplicand and multiplier. By using this long multiplication calculator, users can quickly find the product and corresponding steps for the findings.

Solved Example for Long Multiplication

The below solved example of 4 by 3 digit long multiplication with decimal may useful to understand how to do long multiplication manually for assignment, classwork and homework problems.

Example Problem
Write the product of 1973 and 369.

Arrange the 4-digit multiplicand and 3-digit multiplier for long multiplication method, multiply the multiplicand by Least Significant Digit (LSD) of multiplier and the product underneath to the line in the way that the Ones's place value of multiplicand and One's place value of product of LSD of multiplier and whole multiplicand should be vertically aligned in a straight line.
1973
x 369
----------
17757
Find the product of multiplicand and 2nd least significant digit of 3-digit multiplier, and write down the product under the earlier product but the One's place value of product should start from the Ten's place value of multiplicand.
    1973
  x  369
------------
  17757
12038
Find the product of multiplicand and most significant digit (MSD) of 3-digit multiplier, and write down the product under the earlier product but the One's place value of product should start from the Hundred's place value of multiplicand.
    1973
  x  369
------------
  17757
12038
5919
To find the resulting product, find the sum of 3 individual product of multiplier and multiplicand.
    1973
  x  369
------------
  17757
12038
5919
-------------
728037
-------------

The long multiplication with decimals have as many individual product as equal number of digits of multiplier. For example, if the multiplication involves 3-digit multiplicand and 2-digit multiplier, it would have 2 individual products, these two products arranged in a way that the product of multiplicand and multiplier will have one left shift corresponding to the digit of multiplier involved. Use this long multiplication calculator which supports large numbers multiplication. Users can supply up to 7-digit multiplicand and up to 6-digit multiplier to perform or verify the long multiplication problems.