LCM( 1258, 1192 ) = 749768
Step 1: Write down factorisation of each number:
1258 = 2 · 17 · 37
1192 = 2 · 2 · 2 · 149
Step 2 : Match primes vertically:
1258 | = | 2 | · | 17 | · | 37 | ||||||
1192 | = | 2 | · | 2 | · | 2 | · | 149 |
Step 3 : Bring down numbers in each column and multiply to get LCM:
1258 | = | 2 | · | 17 | · | 37 | ||||||||
1192 | = | 2 | · | 2 | · | 2 | · | 149 | ||||||
LCM | = | 2 | · | 2 | · | 2 | · | 17 | · | 37 | · | 149 | = | 749768 |
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.