Question

Find the l.c.m of 102 119 and 153 by divison method

Answer 1

lcm are as follows
102 - 2,3,17
119-7,17
153-3,3,17


so lcm is - 17x3x2x7x3x3 = 6426

Answer 2

Given

Numbers 102, 119 and 153

To find

LCM of these three numbers

Solution

$102=2\times 3\times 17$

$119=7\times 17$

$153=3\times 3\times 17$

Most number of 2's in any number is 1

Most number of 3's in any number is 2

Most number of 7's in any number is 1

Most number of 17's in any number is 11

$\text{LCM}=2\times 3\times 3\times 7\times 17=2142$

This can be elaborated further by the division method show in the diagram.