## TOOL: LCM CALCULATOR - 3 NUMBERS

#### LCM CALCULATOR - 3 NUMBERS

Enter positive whole numbers. RESULT

LCM(24, 48, 60) = 2 . 2 . 3 . 2 . 1 . 2 . 5 = 240

(Click here to see the GCF calculation of 24, 48 and 60.) DESCRIPTIONS

• The prime factors common to all three numbers are 2, 2 and 3.

• The only prime factor common to a pair of numbers is 2.

• The leftovers are 1, 2 and 5.

The LCM of the entered numbers is equal to the product of the prime factors and the leftovers we found above. OTHER INFORMATION

Common multiples of 24, 48 and 60 are 240, 480, 720 ...

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## INFORMATION

### LCM CAKE METHOD

So as to compute the LCM of three numbers, we can use the cake (ladder) method. In this method, after we write the given numbers to the right, we seek for the prime numbers that divide all three numbers, exactly. Once we find such a prime number, we write it to the LHS, divide the numbers on the right by this prime number and write the quotients to a new layer. We continue this algorithm until no prime number that divides all three numbers is left. Next, we search for the prime numbers that divide two of the numbers on the right. If we find such a prime number, we divide the pair of numbers that are divisible by the prime number and write the quotients to a new layer. We bring the third number down without making the division. We continue searching for such prime numbers until all pairs are relatively prime. Then we multiply the prime numbers on the LHS of the cake and the leftovers in order to find the LCM.

### WHAT IS LCM CALCULATOR - 3 NUMBERS?

LCM CALCULATOR - 3 NUMBERS,

• Draws the upside-down cake associated with the given numbers,
• Graphically illustrates the result,
• Computes the LCM and
• Calculates the smallest three multiples of the entered numbers.

### HOW TO USE LCM CALCULATOR - 3 NUMBERS?

You can use LCM calculator in two ways.

• #### USER INPUTS You can enter three positive whole numbers to the input boxes and click on the "CALCULATE" button. The result and explanations appaer below the calculator

• #### RANDOM INPUTS You can click on the DIE ICON next to the input boxes. If you use this property, three random numbers are generated and entered to the calculator, automatically. You can see the result and explanations below the calculator. You can create your own examples and practice using this property.

• #### CLEARING THE INPUT BOX To check the LCM of other numbers you can clear the input box by clicking on the CLEAR button under the input boxes.

• You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.

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