1.

What is the relation between the LCM and HCF of 420, 490 and 630?1). LCM = 114 × HCF2). LCM = 126 × HCF3). LCM = 132 × HCF4). LCM = 148 × HCF

Answer»

We can WRITE,

⇒ 420 = 22 × 3 × 5 × 7

⇒ 490 = 2 × 5 × 72

⇒ 630 = 2 × 32 × 5 × 7

? HCF is the product of the common factors and LCM is the product of the highest powers of all the factors

⇒ HCF of 420, 490 & 630 = 2 × 5 × 7 = 70

⇒ LCM of 420, 490 & 630 = 22 × 32 × 5 × 72 = 8820

⇒ LCM/HCF = 8820/70 = 126

∴ LCM = 126 × HCF


Discussion

No Comment Found