Foundation
Mathematics Foundation
HCF and LCM
Properties of Real Number
Linear Equations in One Variable
Question
Using Prime factorization, find the HCF and LCM of 24,36,40
Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.
Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA
Solution
Prime factors of 24,36,40
24 = 2 × 2 × 2 × 3 = 23 × 3
36 = 2 × 2,× 3 × = 22 × 32
40 = 2 × 2 × 2 × 2 ×,5 = 23 × 5
HCF (24,36,40) = 22 = 4
LCM ( 24, 36, 40) = 22 × 32 × 5 = 360