Question

Using the prime factorisation method,find the LCM of 2184,2730,3360

Answer 1

Given : 2184,2730,3360

To Find :  the LCM Using the prime factorization method,

Solution:

2184  = 2 * 2 * 2 * 3 * 7 * 13  = 2³ * 3¹  * 7¹  * 13¹

2730 = 2 * 3 * 5 * 7 * 13  = 2¹ * 3¹  * 5¹ * 7¹  * 13¹

3360 =  2 * 2 * 2  * 2 * 2  *  3 * 5 * 7  =   2⁵ * 3¹  * 5¹ * 7¹

Taking maximum power of each prime factor

LCM = 2⁵ *  3¹ * 5¹  * 7¹  * 13¹  

= 32 * 3 * 5 * 7  * 13

= 43,680

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