Find Least Common Multiple of 98 and 44 using prime factorisation method.
Answer
LCM( 98, 44 ) = 2156
Explanation
Step 1: Write down factorisation of each number:
98 = 2 · 7 · 7
44 = 2 · 2 · 11
Step 2 : Match primes vertically:
| 98 | = | 2 | · | 7 | · | 7 | ||||
| 44 | = | 2 | · | 2 | · | 11 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
| 98 | = | 2 | · | 7 | · | 7 | ||||||
| 44 | = | 2 | · | 2 | · | 11 | ||||||
| LCM | = | 2 | · | 2 | · | 7 | · | 7 | · | 11 | = | 2156 |
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