find the LCM of 34 , 85 , and 51 with method
I) prime factor method
II) common division method
Answers
Given : Numbers 34 , 85 , and 51
To Find : The LCM with method
I) prime factorisation method
II) common division method
Solution :
i) Prime factorisation method
•34 can be expressed as 2×17 where 2 & 17 are prime factors of 34
•85 can be expressed as 5×17 where 5 & 17 are prime factors of 85
•51 can be expressed as 3×17 where 3 & 17 are prime factors of 51
•Now LCM of 34 , 85 , and 51 will be product of highest power of each prime factors
i.e.
LCM of 34 , 85 , and 51 = 2×3×5×17
LCM of 34 , 85 , and 51 = 510
II) common division method
common divison method is as follows
2 | 34 , 51 , 85
___________
3 | 17 , 51 , 85
___________
5 | 17 , 17 , 85
___________
17| 17 , 17 , 17
__________
__| 1 , 1 , 1
•Hence , LCM of 34, 85 & 51 is 2*3*5*17 = 510
Answer:
510
Step-by-step explanation: