Solution - Least common multiple (LCM)

Least Common Multiple is :

      652728405

Calculate Least Common Multiple for :

    2345, 6789 and 123

Factorize of the above numbers :

    2345 = 5 • 7 • 67 
    6789 = 3 • 31 • 73 
    123 = 3 • 41 

Build a prime factors table

    Number of times each prime factor
    appears in the factorization of :

Prime   Factor	Number   2345	Number   6789	Number   123	L.C.M    (max)
3	0	1	1	1
5	1	0	0	1
7	1	0	0	1
31	0	1	0	1
41	0	0	1	1
67	1	0	0	1
73	0	1	0	1

 LCM = 3 • 5 • 7 • 31 • 41 • 67 • 73

Least Common Multiple is :

      652728405