Question
Find Least Common Multiple of 98 and 112 using prime factorisation method.
Answer
LCM( 98, 112 ) = 784
Explanation
Step 1: Write down factorisation of each number:
98 = 2 · 7 · 7
112 = 2 · 2 · 2 · 2 · 7
Step 2 : Match primes vertically:
| 98 | = | 2 | · | 7 | · | 7 | ||||||
| 112 | = | 2 | · | 2 | · | 2 | · | 2 | · | 7 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 98 | = | 2 | · | 7 | · | 7 | ||||||||
| 112 | = | 2 | · | 2 | · | 2 | · | 2 | · | 7 | ||||
| LCM | = | 2 | · | 2 | · | 2 | · | 2 | · | 7 | · | 7 | = | 784 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.
This page was created using
LCM Calculator