Math, asked by Ajeet7488, 1 year ago

find the LCM of 34 , 85 , and 51 with method
I) prime factor method
II) common division method

Answers

Answered by AnkitaSahni
47

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

Answered by palashgarg18
4

Answer:

510

Step-by-step explanation:

Similar questions